Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 9.4, Problem 9.93TI
Simplify:
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Last Chance Mine (LCM) purchased a coal deposit for $2,918,300. It estimated it would extract 18,950 tons of coal from the
deposit. LCM mined the coal and sold it, reporting gross receipts of $1.24 million, $13 million, and $11 million for years 1
through 3, respectively. During years 1-3, LCM reported net income (loss) from the coal deposit activity in the amount of
($11,400), $550,000, and $502,500, respectively. In years 1-3, LCM extracted 19,950 tons of coal as follows:
(1) Tons of
Coal
18,950
Depletion
(2) Basis (2)(1) Rate
$2,918,300 $154.00
Tons Extracted per Year
Year 1
4,500
Year 2
8,850
Year 3
6,600
Note: Leave no answer blank. Enter zero if applicable. Enter your answers in dollars and not in millions of dollars.
a. What is LCM's cost depletion for years 1, 2, and 3?
Cost Depletion
Year 1
Year 2
Year 3
Consider the following equation.
log1/9'
=6
Find the value of x.
Round your answer to the nearest thousandth.
x =
✓
Expanding a logarithmic expression: Problem type 3
Use the properties of logarithms to expand the following expression.
4(8+x)²
log
5
)
Your answer should not have radicals or exponents.
You may assume that all variables are positive.
log
4(8 +
X
5
-x)²
Chapter 9 Solutions
Elementary Algebra
Ch. 9.1 - Simplify: (a) 149 (b) 225 .Ch. 9.1 - Simplify: (a) 64 (b) 121 .Ch. 9.1 - Simplify: (a) 196 (b) 81 .Ch. 9.1 - Simplify: (a) 49 (b) 121 .Ch. 9.1 - Simplify: (a) 9+16 (b) 9+16 .Ch. 9.1 - Simplify: (a) 64+225 (b) 64+225 .Ch. 9.1 - Estimate the square root 38 between two...Ch. 9.1 - Estimate the square root 84 between two...Ch. 9.1 - Round 11 to two decimal places.Ch. 9.1 - Round 13 to two decimal places.
Ch. 9.1 - Simplify: (a) y8 (b) z12 .Ch. 9.1 - Simplify: (a) m4 (b) b10 .Ch. 9.1 - Simplify: 64x2 .Ch. 9.1 - Simplify: 169y2 .Ch. 9.1 - Simplify: 121y2 .Ch. 9.1 - Simplify: 100p2 .Ch. 9.1 - Simplify: 100a2b2 .Ch. 9.1 - Simplify: 225m2n2 .Ch. 9.1 - Simplify: 49x30 .Ch. 9.1 - Simplify: 81w36 .Ch. 9.1 - Simplify: 169x10y14 .Ch. 9.1 - Simplify: 144p12q20 .Ch. 9.1 - In the following exercises, simplify. 1. 36Ch. 9.1 - In the following exercises, simplify. 2. 4Ch. 9.1 - In the following exercises, simplify. 3. 64Ch. 9.1 - In the following exercises, simplify. 4. 169Ch. 9.1 - In the following exercises, simplify. 5. 9Ch. 9.1 - In the following exercises, simplify. 6. 16Ch. 9.1 - In the following exercises, simplify. 7. 100Ch. 9.1 - In the following exercises, simplify. 8. 144Ch. 9.1 - In the following exercises, simplify. 9. 4Ch. 9.1 - In the following exercises, simplify. 10. 100Ch. 9.1 - In the following exercises, simplify. 11. 1Ch. 9.1 - In the following exercises, simplify. 12. 121Ch. 9.1 - In the following exercises, simplify. 13. 121Ch. 9.1 - In the following exercises, simplify. 14. 36Ch. 9.1 - In the following exercises, simplify. 15. 9Ch. 9.1 - In the following exercises, simplify. 16. 49Ch. 9.1 - In the following exercises, simplify. 17. 9+16Ch. 9.1 - In the following exercises, simplify. 18. 25+144Ch. 9.1 - In the following exercises, simplify. 19. 9+16Ch. 9.1 - In the following exercises, simplify. 20. 25+144Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, approximate each...Ch. 9.1 - In the following exercises, simplify. 29. y2Ch. 9.1 - In the following exercises, simplify. 30. b2Ch. 9.1 - In the following exercises, simplify. 31. a14Ch. 9.1 - In the following exercises, simplify. 32. w24Ch. 9.1 - In the following exercises, simplify. 33. 49x2Ch. 9.1 - In the following exercises, simplify. 34. 100y2Ch. 9.1 - In the following exercises, simplify. 35. 121m20Ch. 9.1 - In the following exercises, simplify. 36. 25h44Ch. 9.1 - In the following exercises, simplify. 37. 81x36Ch. 9.1 - In the following exercises, simplify. 38. 144z84Ch. 9.1 - In the following exercises, simplify. 39. 81x18Ch. 9.1 - In the following exercises, simplify. 40. 100m32Ch. 9.1 - In the following exercises, simplify. 41. 64a2Ch. 9.1 - In the following exercises, simplify. 42. 25x2Ch. 9.1 - In the following exercises, simplify. 43. 144x2y2Ch. 9.1 - In the following exercises, simplify. 44. 196a2b2Ch. 9.1 - In the following exercises, simplify. 45. 169w8y10Ch. 9.1 - In the following exercises, simplify. 46. 81p24q6Ch. 9.1 - In the following exercises, simplify. 47. 9c8d12Ch. 9.1 - In the following exercises, simplify. 48. 36r6s20Ch. 9.1 - Decorating Denise wants to have a square accent of...Ch. 9.1 - Decorating Morris wants to have a square mosaic...Ch. 9.1 - Why is there no real number equal to 64 ?Ch. 9.1 - What is the difference between 92 and 9 ?Ch. 9.2 - Simplify: 48 .Ch. 9.2 - Simplify: 45 .Ch. 9.2 - Simplify: 288 .Ch. 9.2 - Simplify: 432 .Ch. 9.2 - Simplify: b5 .Ch. 9.2 - Simplify: p9 .Ch. 9.2 - Simplify: 16x7 .Ch. 9.2 - Simplify: 49v9 .Ch. 9.2 - Simplify: 32y5 .Ch. 9.2 - Simplify: 75a9 .Ch. 9.2 - Simplify: 98a7b5 .Ch. 9.2 - Simplify: 180m9n11 .Ch. 9.2 - Simplify: 5+75 .Ch. 9.2 - Simplify: 2+98 .Ch. 9.2 - Simplify: 10755 .Ch. 9.2 - Simplify: 6453 .Ch. 9.2 - Simplify: 2516 .Ch. 9.2 - Simplify: 4981 .Ch. 9.2 - Simplify: 7548 .Ch. 9.2 - Simplify: 98162 .Ch. 9.2 - Simplify: a8a6 .Ch. 9.2 - Simplify: x 14x 10 .Ch. 9.2 - Simplify: 75x53x .Ch. 9.2 - Simplify: 72z 122z 10 .Ch. 9.2 - Simplify: 1949 .Ch. 9.2 - Simplify: 2881 .Ch. 9.2 - Simplify: 24p349 .Ch. 9.2 - Simplify: 48x5100 .Ch. 9.2 - Simplify: 80m3n6 .Ch. 9.2 - Simplify: 54u7v8 .Ch. 9.2 - Simplify: 64x79x3 .Ch. 9.2 - Simplify: 16a9100a5 .Ch. 9.2 - Simplify: 50x5y372x4y .Ch. 9.2 - Simplify: 48m7n2125m5n9 .Ch. 9.2 - In the following exercises, simplify. 53. 27Ch. 9.2 - In the following exercises, simplify. 54. 80Ch. 9.2 - In the following exercises, simplify. 55. 125Ch. 9.2 - In the following exercises, simplify. 56. 96Ch. 9.2 - In the following exercises, simplify. 57. 200Ch. 9.2 - In the following exercises, simplify. 58. 147Ch. 9.2 - In the following exercises, simplify. 59. 450Ch. 9.2 - In the following exercises, simplify. 60. 252Ch. 9.2 - In the following exercises, simplify. 61. 800Ch. 9.2 - In the following exercises, simplify. 62. 288Ch. 9.2 - In the following exercises, simplify. 63. 675Ch. 9.2 - In the following exercises, simplify. 64. 1250Ch. 9.2 - In the following exercises, simplify. 65. x7Ch. 9.2 - In the following exercises, simplify. 66. y11Ch. 9.2 - In the following exercises, simplify. 67. p3Ch. 9.2 - In the following exercises, simplify. 68. q5Ch. 9.2 - In the following exercises, simplify. 69. m13Ch. 9.2 - In the following exercises, simplify. 70. n21Ch. 9.2 - In the following exercises, simplify. 71. r25Ch. 9.2 - In the following exercises, simplify. 72. s33Ch. 9.2 - In the following exercises, simplify. 73. 49n17Ch. 9.2 - In the following exercises, simplify. 74. 25m9Ch. 9.2 - In the following exercises, simplify. 75. 81r15Ch. 9.2 - In the following exercises, simplify. 76. 100s19Ch. 9.2 - In the following exercises, simplify. 77. 98m5Ch. 9.2 - In the following exercises, simplify. 78. 32n11Ch. 9.2 - In the following exercises, simplify. 79. 125r13Ch. 9.2 - In the following exercises, simplify. 80. 80s15Ch. 9.2 - In the following exercises, simplify. 81. 200p13Ch. 9.2 - In the following exercises, simplify. 82. 128q3Ch. 9.2 - In the following exercises, simplify. 83. 242m23Ch. 9.2 - In the following exercises, simplify. 84. 175n13Ch. 9.2 - In the following exercises, simplify. 85. 147m7n11Ch. 9.2 - In the following exercises, simplify. 86. 48m7n5Ch. 9.2 - In the following exercises, simplify. 87. 75r13s9Ch. 9.2 - In the following exercises, simplify. 88. 96r3s3Ch. 9.2 - In the following exercises, simplify. 89. 300p9q11Ch. 9.2 - In the following exercises, simplify. 90. 192q3r7Ch. 9.2 - In the following exercises, simplify. 91....Ch. 9.2 - In the following exercises, simplify. 92. 150m9n3Ch. 9.2 - In the following exercises, simplify. 93. 5+12Ch. 9.2 - In the following exercises, simplify. 94. 8+96Ch. 9.2 - In the following exercises, simplify. 95. 1+45Ch. 9.2 - In the following exercises, simplify. 96. 3+125Ch. 9.2 - In the following exercises, simplify. 97. 10242Ch. 9.2 - In the following exercises, simplify. 98. 8804Ch. 9.2 - In the following exercises, simplify. 99. 3+903Ch. 9.2 - In the following exercises, simplify. 100. 15+755Ch. 9.2 - In the following exercises, simplify. 101. 4964Ch. 9.2 - In the following exercises, simplify. 102. 10036Ch. 9.2 - In the following exercises, simplify. 103. 12116Ch. 9.2 - In the following exercises, simplify. 104. 144169Ch. 9.2 - In the following exercises, simplify. 105. 7298Ch. 9.2 - In the following exercises, simplify. 106. 7512Ch. 9.2 - In the following exercises, simplify. 107. 45125Ch. 9.2 - In the following exercises, simplify. 108. 300243Ch. 9.2 - In the following exercises, simplify. 109. x 10x6Ch. 9.2 - In the following exercises, simplify. 110. p 20p...Ch. 9.2 - In the following exercises, simplify. 111. y4y8Ch. 9.2 - In the following exercises, simplify. 112. q8q 14Ch. 9.2 - In the following exercises, simplify. 113....Ch. 9.2 - In the following exercises, simplify. 114. 98y...Ch. 9.2 - In the following exercises, simplify. 115. 96p96pCh. 9.2 - In the following exercises, simplify. 116. 108q...Ch. 9.2 - In the following exercises, simplify. 117. 3635Ch. 9.2 - In the following exercises, simplify. 118. 14465Ch. 9.2 - In the following exercises, simplify. 119. 2081Ch. 9.2 - In the following exercises, simplify. 120. 21196Ch. 9.2 - In the following exercises, simplify. 121. 96x7121Ch. 9.2 - In the following exercises, simplify. 122. 108y449Ch. 9.2 - In the following exercises, simplify. 123. 300m564Ch. 9.2 - In the following exercises, simplify. 124....Ch. 9.2 - In the following exercises, simplify. 125. 98r5100Ch. 9.2 - In the following exercises, simplify. 126. 180s...Ch. 9.2 - In the following exercises, simplify. 127. 28q6225Ch. 9.2 - In the following exercises, simplify. 128....Ch. 9.2 - In the following exercises, simplify. 129. 75r9s8Ch. 9.2 - In the following exercises, simplify. 130. 72x5y6Ch. 9.2 - In the following exercises, simplify. 131. 28p7q2Ch. 9.2 - In the following exercises, simplify. 132. 45r3s...Ch. 9.2 - In the following exercises, simplify. 133....Ch. 9.2 - In the following exercises, simplify. 134. 49r...Ch. 9.2 - In the following exercises, simplify. 135....Ch. 9.2 - In the following exercises, simplify. 136. 25r864rCh. 9.2 - In the following exercises, simplify. 137....Ch. 9.2 - In the following exercises, simplify. 138....Ch. 9.2 - In the following exercises, simplify. 139....Ch. 9.2 - In the following exercises, simplify. 140....Ch. 9.2 - (a) Elliott decides to construct a square garden...Ch. 9.2 - (a) Melissa accidentally drops a pair of...Ch. 9.2 - Explain why x4=x2 . Then explain why x16=x8 .Ch. 9.2 - Explain why 7+9 is not equal to 7+9 .Ch. 9.3 - Simplify: 8292 .Ch. 9.3 - Simplify: 5393 .Ch. 9.3 - Simplify: 2x+7x .Ch. 9.3 - Simplify: 5u+3u .Ch. 9.3 - Simplify: 7p6q .Ch. 9.3 - Simplify: 6a3b .Ch. 9.3 - Simplify: 411+211+311 .Ch. 9.3 - Simplify: 610+210+310 .Ch. 9.3 - Simplify: 5545+26 .Ch. 9.3 - Simplify: 3787+25 .Ch. 9.3 - Simplify: 7x77x+47x .Ch. 9.3 - Simplify: 43y73y+23y .Ch. 9.3 - Simplify: 5xy+45xy75xy .Ch. 9.3 - Simplify: 37mn+7mn47mn .Ch. 9.3 - Simplify: 18+62 .Ch. 9.3 - Simplify: 27+43 .Ch. 9.3 - Simplify: 3218 .Ch. 9.3 - Simplify: 2045 .Ch. 9.3 - Simplify: 427312 .Ch. 9.3 - Simplify: 320745 .Ch. 9.3 - Simplify: 2310857147 .Ch. 9.3 - Simplify: 3520034128 .Ch. 9.3 - Simplify: 2532138 .Ch. 9.3 - Simplify: 138014125 .Ch. 9.3 - Simplify: 32m750m7 .Ch. 9.3 - Simplify: 27p348p3 .Ch. 9.3 - Simplify: 532x2348x2 .Ch. 9.3 - Simplify: 748y2472y2 .Ch. 9.3 - Simplify: 312x22x48+427x2 .Ch. 9.3 - Simplify: 318x26x32+250x2 .Ch. 9.3 - In the following exercises, simplify. 145. 8252Ch. 9.3 - In the following exercises, simplify. 146. 7232Ch. 9.3 - In the following exercises, simplify. 147. 35+65Ch. 9.3 - In the following exercises, simplify. 148. 45+85Ch. 9.3 - In the following exercises, simplify. 149. 97107Ch. 9.3 - In the following exercises, simplify. 150. 117127Ch. 9.3 - In the following exercises, simplify. 151. 7y+2yCh. 9.3 - In the following exercises, simplify. 152. 9n+3nCh. 9.3 - In the following exercises, simplify. 153. a4aCh. 9.3 - In the following exercises, simplify. 154. b6bCh. 9.3 - In the following exercises, simplify. 155. 5c+2cCh. 9.3 - In the following exercises, simplify. 156. 7d+2dCh. 9.3 - In the following exercises, simplify. 157. 8a2bCh. 9.3 - In the following exercises, simplify. 158. 5c3dCh. 9.3 - In the following exercises, simplify. 159. 5m+nCh. 9.3 - In the following exercises, simplify. 160. n+3pCh. 9.3 - In the following exercises, simplify. 161....Ch. 9.3 - In the following exercises, simplify. 162. 65+35+5Ch. 9.3 - In the following exercises, simplify. 163....Ch. 9.3 - In the following exercises, simplify. 164....Ch. 9.3 - In the following exercises, simplify. 165. 3383+75Ch. 9.3 - In the following exercises, simplify. 166. 5787+63Ch. 9.3 - In the following exercises, simplify. 167. 62+2235Ch. 9.3 - In the following exercises, simplify. 168. 75+5810Ch. 9.3 - In the following exercises, simplify. 169....Ch. 9.3 - In the following exercises, simplify. 170....Ch. 9.3 - In the following exercises, simplify. 171....Ch. 9.3 - In the following exercises, simplify. 172....Ch. 9.3 - In the following exercises, simplify. 173....Ch. 9.3 - In the following exercises, simplify. 174....Ch. 9.3 - In the following exercises, simplify. 175....Ch. 9.3 - In the following exercises, simplify. 176....Ch. 9.3 - sIn the following exercises, simplify. 177. 50+42Ch. 9.3 - In the following exercises, simplify. 178. 48+23Ch. 9.3 - In the following exercises, simplify. 179. 8035Ch. 9.3 - In the following exercises, simplify. 180. 2847Ch. 9.3 - In the following exercises, simplify. 181. 2775Ch. 9.3 - In the following exercises, simplify. 182. 7298Ch. 9.3 - In the following exercises, simplify. 183. 48+27Ch. 9.3 - In the following exercises, simplify. 184. 45+80Ch. 9.3 - In the following exercises, simplify. 185. 250372Ch. 9.3 - In the following exercises, simplify. 186. 398128Ch. 9.3 - In the following exercises, simplify. 187. 212+348Ch. 9.3 - In the following exercises, simplify. 188....Ch. 9.3 - In the following exercises, simplify. 189....Ch. 9.3 - In the following exercises, simplify. 190....Ch. 9.3 - In the following exercises, simplify. 191....Ch. 9.3 - In the following exercises, simplify. 192....Ch. 9.3 - In the following exercises, simplify. 193....Ch. 9.3 - In the following exercises, simplify. 194....Ch. 9.3 - In the following exercises, simplify. 195....Ch. 9.3 - In the following exercises, simplify. 196....Ch. 9.3 - In the following exercises, simplify. 197....Ch. 9.3 - In the following exercises, simplify. 198....Ch. 9.3 - In the following exercises, simplify. 199....Ch. 9.3 - In the following exercises, simplify. 200....Ch. 9.3 - In the following exercises, simplify. 201....Ch. 9.3 - In the following exercises, simplify. 202....Ch. 9.3 - In the following exercises, simplify. 203....Ch. 9.3 - In the following exercises, simplify. 204....Ch. 9.3 - In the following exercises, simplify. 205....Ch. 9.3 - In the following exercises, simplify. 206....Ch. 9.3 - In the following exercises, simplify. 207....Ch. 9.3 - In the following exercises, simplify. 208....Ch. 9.3 - 28+6858Ch. 9.3 - 2327+3448Ch. 9.3 - 175k463k4Ch. 9.3 - 56162+316128Ch. 9.3 - 23632300Ch. 9.3 - 150+46Ch. 9.3 - 9282Ch. 9.3 - 5x8yCh. 9.3 - 813413313Ch. 9.3 - 512c4327c6Ch. 9.3 - 80a545a5Ch. 9.3 - 35751448Ch. 9.3 - 2119219Ch. 9.3 - 500+405Ch. 9.3 - 5627+5848Ch. 9.3 - 11111011Ch. 9.3 - 75108Ch. 9.3 - 298472Ch. 9.3 - 424x254x2+3x6Ch. 9.3 - 880y6648y6Ch. 9.3 - A decorator decides to use square tiles as an...Ch. 9.3 - Suzy wants to use square tiles on the border of a...Ch. 9.3 - Explain the difference between like radicals and...Ch. 9.3 - Explain the process for determining whether two...Ch. 9.4 - Simplify: (a) 36 (b) . (26)(312) ..Ch. 9.4 - Simplify: (a) 510 (b) (63)(56) .Ch. 9.4 - Simplify: (32)(230) .Ch. 9.4 - Simplify: (33)(36) .Ch. 9.4 - Simplify: (a) (6x3)(3x) (b) (2y3)(50y2) .Ch. 9.4 - Simplify: (a) (6x5)(2x) (b) (12y2)(3y5) .Ch. 9.4 - Simplify: (62x2)(845x4) .Ch. 9.4 - Simplify: (26y4)(1230y) .Ch. 9.4 - Simplify: (a) ( 12)2 (b) ( 15)2 .Ch. 9.4 - Simplify: (a) ( 16)2 (b) ( 20)2 .Ch. 9.4 - Simplify: (a) (611)(511) (b) (58)2 .Ch. 9.4 - Simplify: (a) (37)(107) (b) (46)2 .Ch. 9.4 - Simplify: (a) 2(35) (b) 3(218) .Ch. 9.4 - Simplify: (a) 6(2+6) (b) 7(1+14) .Ch. 9.4 - Simplify: (a) 6(1+36) (b) 12(3+24) .Ch. 9.4 - Simplify: (a) 8(258) (b) 14(2+42) .Ch. 9.4 - Simplify: (1+6)(36) .Ch. 9.4 - Simplify: (410)(2+10) .Ch. 9.4 - Simplify: (637)(3+47) .Ch. 9.4 - Simplify: (2311)(411) .Ch. 9.4 - Simplify: (537)(3+27) .Ch. 9.4 - Simplify: (638)(26+8) .Ch. 9.4 - Simplify: (65m)(2+3m) .Ch. 9.4 - Simplify: (10+3n)(15n) .Ch. 9.4 - Simplify: (a) (10+2)2 (b) (1+36)2 .Ch. 9.4 - Simplify: (a) (65)2 (b) (92 10)2 .Ch. 9.4 - Simplify: (2+5m)2 .Ch. 9.4 - Simplify: (34n)2 .Ch. 9.4 - Simplify: (23)(2+3) .Ch. 9.4 - Simplify: (1+5)(15) .Ch. 9.4 - Simplify: (325)(3+25) .Ch. 9.4 - Simplify: (4+57)(457) .Ch. 9.4 - In the following exercises, simplify. 233. (a) 28...Ch. 9.4 - In the following exercises, simplify. 234. (a) 66...Ch. 9.4 - In the following exercises, simplify. 235. (a) 714...Ch. 9.4 - In the following exercises, simplify. 236. (a) 612...Ch. 9.4 - In the following exercises, simplify. 237....Ch. 9.4 - In the following exercises, simplify. 238....Ch. 9.4 - In the following exercises, simplify. 239....Ch. 9.4 - In the following exercises, simplify. 240....Ch. 9.4 - In the following exercises, simplify. 241....Ch. 9.4 - In the following exercises, simplify. 242....Ch. 9.4 - In the following exercises, simplify. 243....Ch. 9.4 - In the following exercises, simplify. 244....Ch. 9.4 - In the following exercises, simplify. 245. (a)...Ch. 9.4 - In the following exercises, simplify. 246. (a)...Ch. 9.4 - In the following exercises, simplify. 247. (a)...Ch. 9.4 - In the following exercises, simplify. 248. (a)...Ch. 9.4 - In the following exercises, simplify. 249....Ch. 9.4 - In the following exercises, simplify. 250....Ch. 9.4 - In the following exercises, simplify. 251....Ch. 9.4 - In the following exercises, simplify. 252....Ch. 9.4 - In the following exercises, simplify. 253....Ch. 9.4 - In the following exercises, simplify. 254....Ch. 9.4 - In the following exercises, simplify. 255....Ch. 9.4 - In the following exercises, simplify. 256. (a)...Ch. 9.4 - In the following exercises, simplify. 257. (a) (...Ch. 9.4 - In the following exercises, simplify. 258. (a) (...Ch. 9.4 - In the following exercises, simplify. 259. (a) (...Ch. 9.4 - In the following exercises, simplify. 260. (a)...Ch. 9.4 - In the following exercises, simplify. 261. (a)...Ch. 9.4 - In the following exercises, simplify. 262. (a)...Ch. 9.4 - In the following exercises, simplify. 263. (a)...Ch. 9.4 - In the following exercises, simplify. 264. (a)...Ch. 9.4 - In the following exercises, simplify. 265. (a)...Ch. 9.4 - In the following exercises, simplify. 266. (a)...Ch. 9.4 - In the following exercises, simplify. 267. (a)...Ch. 9.4 - In the following exercises, simplify. 268. (a)...Ch. 9.4 - In the following exercises, simplify. 269. (a)...Ch. 9.4 - In the following exercises, simplify. 270. (a)...Ch. 9.4 - In the following exercises, simplify. 271. (a)...Ch. 9.4 - In the following exercises, simplify. 272....Ch. 9.4 - In the following exercises, simplify. 273....Ch. 9.4 - In the following exercises, simplify. 274....Ch. 9.4 - In the following exercises, simplify. 275....Ch. 9.4 - In the following exercises, simplify. 276....Ch. 9.4 - In the following exercises, simplify. 277....Ch. 9.4 - In the following exercises, simplify. 278....Ch. 9.4 - In the following exercises, simplify. 279....Ch. 9.4 - In the following exercises, simplify. 280....Ch. 9.4 - In the following exercises, simplify. 281....Ch. 9.4 - In the following exercises, simplify. 282....Ch. 9.4 - In the following exercises, simplify. 283....Ch. 9.4 - In the following exercises, simplify. 284....Ch. 9.4 - In the following exercises, simplify. 285....Ch. 9.4 - In the following exercises, simplify. 286....Ch. 9.4 - In the following exercises, simplify. 287....Ch. 9.4 - In the following exercises, simplify. 288. (a)...Ch. 9.4 - In the following exercises, simplify. 289. (a) (4+...Ch. 9.4 - In the following exercises, simplify. 290. (a)...Ch. 9.4 - In the following exercises, simplify. 291. (a) (5...Ch. 9.4 - In the following exercises, simplify. 292....Ch. 9.4 - In the following exercises, simplify. 293....Ch. 9.4 - In the following exercises, simplify. 294....Ch. 9.4 - In the following exercises, simplify. 295....Ch. 9.4 - In the following exercises, simplify. 296....Ch. 9.4 - In the following exercises, simplify. 297....Ch. 9.4 - In the following exercises, simplify. 298....Ch. 9.4 - In the following exercises, simplify. 299....Ch. 9.4 - In the following exercises, simplify. 300. 321Ch. 9.4 - In the following exercises, simplify. 301....Ch. 9.4 - In the following exercises, simplify. 302....Ch. 9.4 - In the following exercises, simplify. 303....Ch. 9.4 - In the following exercises, simplify. 304....Ch. 9.4 - In the following exercises, simplify. 305....Ch. 9.4 - In the following exercises, simplify. 306....Ch. 9.4 - In the following exercises, simplify. 307. ( 29)2Ch. 9.4 - In the following exercises, simplify. 308....Ch. 9.4 - In the following exercises, simplify. 309....Ch. 9.4 - A landscaper wants to put a square reflecting pool...Ch. 9.4 - An artist wants to make a small monument in the...Ch. 9.4 - A square garden will be made with a stone border...Ch. 9.4 - A garden will be made so as to contain two square...Ch. 9.4 - Suppose a third section will be added to the...Ch. 9.4 - (a) Explain why (n)2 is always positive, for n0 ....Ch. 9.4 - Use the binomial square pattern to simplify (3+2)2...Ch. 9.5 - Simplify: 328 .Ch. 9.5 - Simplify: 7515 .Ch. 9.5 - Simplify: 84010 .Ch. 9.5 - Simplify: 107520 .Ch. 9.5 - Simplify: 48108 .Ch. 9.5 - Simplify: 9654 .Ch. 9.5 - Simplify: 12r36r .Ch. 9.5 - Simplify: 14p92p5 .Ch. 9.5 - Simplify: 50s3128s .Ch. 9.5 - Simplify: 75q5108q .Ch. 9.5 - Simplify: 162x 10y22x6y6 .Ch. 9.5 - Simplify: 300m3n73m5n .Ch. 9.5 - Simplify: 53 .Ch. 9.5 - Simplify: 65 .Ch. 9.5 - Simplify: 525 .Ch. 9.5 - Simplify: 943 .Ch. 9.5 - Simplify: 718 .Ch. 9.5 - Simplify: 332 .Ch. 9.5 - Simplify: 327 .Ch. 9.5 - Simplify: 1050 .Ch. 9.5 - Simplify: 22+3 .Ch. 9.5 - Simplify: 55+3 .Ch. 9.5 - Simplify: 315 .Ch. 9.5 - Simplify: 246 .Ch. 9.5 - Simplify: 5x+2 .Ch. 9.5 - Simplify: 10y3 .Ch. 9.5 - Simplify:. p+2p2 .Ch. 9.5 - Simplify: q10q+10 .Ch. 9.5 - In the following exercises, simplify. 317. 276Ch. 9.5 - In the following exercises, simplify. 318. 5010Ch. 9.5 - In the following exercises, simplify. 319. 729Ch. 9.5 - In the following exercises, simplify. 320. 2436Ch. 9.5 - In the following exercises, simplify. 321. 2328Ch. 9.5 - In the following exercises, simplify. 322. 3+279Ch. 9.5 - In the following exercises, simplify. 323. 6+456Ch. 9.5 - In the following exercises, simplify. 324. 1020020Ch. 9.5 - In the following exercises, simplify. 325. 80125Ch. 9.5 - In the following exercises, simplify. 326. 72200Ch. 9.5 - In the following exercises, simplify. 327. 12872Ch. 9.5 - In the following exercises, simplify. 328. 4875Ch. 9.5 - In the following exercises, simplify. 329. (a)...Ch. 9.5 - In the following exercises, simplify. 330. (a)...Ch. 9.5 - In the following exercises, simplify. 331....Ch. 9.5 - In the following exercises, simplify. 332....Ch. 9.5 - In the following exercises, simplify. 333....Ch. 9.5 - In the following exercises, simplify. 334. 98rs...Ch. 9.5 - In the following exercises, simplify. 335....Ch. 9.5 - In the following exercises, simplify. 336....Ch. 9.5 - In the following exercises, simplify. 337. 9814Ch. 9.5 - In the following exercises, simplify. 338. 7218Ch. 9.5 - In the following exercises, simplify. 339. 5+12515Ch. 9.5 - In the following exercises, simplify. 340. 64512Ch. 9.5 - In the following exercises, simplify. 341. 96150Ch. 9.5 - In the following exercises, simplify. 342. 2863Ch. 9.5 - In the following exercises, simplify. 343. 26y72yCh. 9.5 - In the following exercises, simplify. 344. 15x33xCh. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify and...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - In the following exercises, simplify by...Ch. 9.5 - A supply kit is dropped from an airplane flying at...Ch. 9.5 - A flare is dropped into the ocean from an airplane...Ch. 9.5 - (a) Simplify 273 and explain all your steps. (b)...Ch. 9.5 - (a) Approximate 12 by dividing 11.414 using long...Ch. 9.6 - For the equation x+6=x : (a) Is x=2 a solution?...Ch. 9.6 - For the equation x+2=x : (a) Is x=2 a solution?...Ch. 9.6 - Solve: 3x5=5 .Ch. 9.6 - Solve: 4x+8=6 .Ch. 9.6 - Solve: 3m+25=0 .Ch. 9.6 - Solve: 10z+12=0 .Ch. 9.6 - Solve: 3p+3+3=5 .Ch. 9.6 - Solve: 5q+1+4=6 .Ch. 9.6 - Solve: 2r3+5=0 .Ch. 9.6 - Solve: 7s3+2=0 .Ch. 9.6 - Solve: x2+2=x .Ch. 9.6 - Solve: y5+5=y .Ch. 9.6 - Solve: m+9m+3=0 .Ch. 9.6 - Solve: n+1n+1=0 .Ch. 9.6 - Solve: 24a+216=16 .Ch. 9.6 - Solve: 36b+325=50 .Ch. 9.6 - Solve: 2x5=5x+3 .Ch. 9.6 - Solve: 7y+1=2y5 .Ch. 9.6 - Solve: x+3=x+5 .Ch. 9.6 - Solve: m+5=m+16 .Ch. 9.6 - Solve: y3+2=4y+2 .Ch. 9.6 - Solve: n4+5=3n+3 .Ch. 9.6 - Katie wants to plant a square lawn in her front...Ch. 9.6 - Sergio wants to make a square mosaic as an inlay...Ch. 9.6 - A helicopter dropped a rescue package from a...Ch. 9.6 - A window washer dropped a squeegee from a platform...Ch. 9.6 - An accident investigator measured the skid marks...Ch. 9.6 - The skid marks of a vehicle involved in an...Ch. 9.6 - In the following exercises, check whether the...Ch. 9.6 - In the following exercises, check whether the...Ch. 9.6 - In the following exercises, check whether the...Ch. 9.6 - In the following exercises, check whether the...Ch. 9.6 - In the following exercises, solve. 393. 5y+1=4Ch. 9.6 - In the following exercises, solve. 394. 7z+15=6Ch. 9.6 - In the following exercises, solve. 395. 5x6=8Ch. 9.6 - In the following exercises, solve. 396. 4x3=7Ch. 9.6 - In the following exercises, solve. 397. 2m35=0Ch. 9.6 - In the following exercises, solve. 398. 2n13=0Ch. 9.6 - In the following exercises, solve. 399. 6v210=0Ch. 9.6 - In the following exercises, solve. 400. 4u+26=0Ch. 9.6 - In the following exercises, solve. 401. 5q+34=0Ch. 9.6 - In the following exercises, solve. 402. 4m+2+2=6Ch. 9.6 - In the following exercises, solve. 403. 6n+1+4=8Ch. 9.6 - In the following exercises, solve. 404. 2u3+2=0Ch. 9.6 - In the following exercises, solve. 405. 5v2+5=0Ch. 9.6 - In the following exercises, solve. 406. 3z5+2=0Ch. 9.6 - In the following exercises, solve. 407. 2m+1+4=0Ch. 9.6 - In the following exercises, solve. 408. (a) u3+3=u...Ch. 9.6 - In the following exercises, solve. 409. (a)...Ch. 9.6 - In the following exercises, solve. 410. (a) r1r=1...Ch. 9.6 - In the following exercises, solve. 411. (a) s8s=8...Ch. 9.6 - In the following exercises, solve. 412. 32x320=7Ch. 9.6 - In the following exercises, solve. 413. 25x+18=0Ch. 9.6 - In the following exercises, solve. 414. 28r+18=2Ch. 9.6 - In the following exercises, solve. 415. 37y+110=8Ch. 9.6 - In the following exercises, solve. 416. 3u2=5u+1Ch. 9.6 - In the following exercises, solve. 417. 4v+3=v6Ch. 9.6 - In the following exercises, solve. 418. 8+2r=3r+10Ch. 9.6 - In the following exercises, solve. 419. 12c+6=104cCh. 9.6 - In the following exercises, solve. 420. (a)...Ch. 9.6 - In the following exercises, solve. 421. (a)...Ch. 9.6 - In the following exercises, solve. 422. (a)...Ch. 9.6 - In the following exercises, solve. 423. (a)...Ch. 9.6 - In the following exercises, solve. 424. 2y+4+6=0Ch. 9.6 - In the following exercises, solve. 425. 8u+1+9=0Ch. 9.6 - In the following exercises, solve. 426. a+1=a+5Ch. 9.6 - In the following exercises, solve. 427. d2=d20Ch. 9.6 - In the following exercises, solve. 428. 6s+4=8s28Ch. 9.6 - In the following exercises, solve. 429. 9p+9=10p6Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - In the following exercises, solve. Round...Ch. 9.6 - Explain why an equation of the form x+1=0 has no...Ch. 9.6 - (a) Solve the equation r+4r+2=0 . (b) Explain why...Ch. 9.7 - Simplify: (a) 273 (b) 2564 (c) 2435 .Ch. 9.7 - Simplify: (a) 10003 (b) 164 (c) 325 .Ch. 9.7 - Simplify: (a) 1253 (b) 164 (c) 325 .Ch. 9.7 - Simplify: (a) 2163 (b) 814 (c) 10245 .Ch. 9.7 - Simplify: (a) b2 (b) w33 (c) m44 (d) q55 .Ch. 9.7 - Simplify: (a) y2 (b) p33 (c) z44 (d) q55 .Ch. 9.7 - Simplify: (a) u124 (b) v153 .Ch. 9.7 - Simplify: (a) c205 (b) d246 .Ch. 9.7 - Simplify: (a) 27x273 (b) 81q284 .Ch. 9.7 - Simplify: (a) 125p93 (b) 243q255 .Ch. 9.7 - Simplify: (a) y64 (b) z53 .Ch. 9.7 - Simplify: (a) p85 (b) q136 .Ch. 9.7 - Simplify: (a) 813 (b) 644 .Ch. 9.7 - Simplify: (a) 6253 (b) 7294 .Ch. 9.7 - Simplify: (a) 54p103 (b) 64q104 .Ch. 9.7 - Simplify: (a) 128m113 (b) 162n74 .Ch. 9.7 - Simplify: (a) 1083 (b) 484 .Ch. 9.7 - Simplify: (a) 6253 (b) 3244 .Ch. 9.7 - Simplify: (a) x7x34 (b) y 17y54 .Ch. 9.7 - Simplify: (a) m 13m73 (b) n 12n25 .Ch. 9.7 - Simplify: (a) 532323 (b) 486m 1143m54 .Ch. 9.7 - Simplify: (a) 192333 (b) 324n742n34 .Ch. 9.7 - Simplify: (a) 108c 10d63 (b) 80x 10y54 .Ch. 9.7 - Simplify: (a) 40r3s3 (b) 162m 14n 124 .Ch. 9.7 - Simplify: (a) 3x5+3x5 (b) 39393 .Ch. 9.7 - Simplify: (a) 10y4+10y4 (b) 53263326 .Ch. 9.7 - Simplify: (a) 1923813 (b) 324+5124 .Ch. 9.7 - Simplify: (a) 10832503 (b) 645+4865 .Ch. 9.7 - Simplify: (a) 32y53108y83 (b) 243r114+768r104 .Ch. 9.7 - Simplify: (a) 40z73135z43 (b) 80s134+1280s64 .Ch. 9.7 - In the following exercises, simplify. 442. (a)...Ch. 9.7 - In the following exercises, simplify. 443. (a) 273...Ch. 9.7 - In the following exercises, simplify. 444. (a)...Ch. 9.7 - In the following exercises, simplify. 445. (a)...Ch. 9.7 - In the following exercises, simplify. 446. (a) 83...Ch. 9.7 - In the following exercises, simplify. 447. (a) 643...Ch. 9.7 - In the following exercises, simplify. 448. (a)...Ch. 9.7 - In the following exercises, simplify. 449. (a)...Ch. 9.7 - In the following exercises, simplify. 450. (a) u55...Ch. 9.7 - In the following exercises, simplify. 451. (a) a33...Ch. 9.7 - In the following exercises, simplify. 452. (a) y44...Ch. 9.7 - In the following exercises, simplify. 453. (a) k88...Ch. 9.7 - In the following exercises, simplify. 454. (a) x93...Ch. 9.7 - In the following exercises, simplify. 455. (a)...Ch. 9.7 - In the following exercises, simplify. 456. (a) m84...Ch. 9.7 - In the following exercises, simplify. 457. (a)...Ch. 9.7 - In the following exercises, simplify. 458. (a)...Ch. 9.7 - In the following exercises, simplify. 459. (a)...Ch. 9.7 - In the following exercises, simplify. 460. (a)...Ch. 9.7 - In the following exercises, simplify. 461. (a)...Ch. 9.7 - In the following exercises, simplify. 462. (a) r53...Ch. 9.7 - In the following exercises, simplify. 463. (a) u75...Ch. 9.7 - In the following exercises, simplify. 464. (a) m54...Ch. 9.7 - In the following exercises, simplify. 465. (a) p85...Ch. 9.7 - In the following exercises, simplify. 466. (a) 324...Ch. 9.7 - In the following exercises, simplify. 467. (a)...Ch. 9.7 - In the following exercises, simplify. 468. (a) 645...Ch. 9.7 - In the following exercises, simplify. 469. (a)...Ch. 9.7 - In the following exercises, simplify. 470. (a)...Ch. 9.7 - In the following exercises, simplify. 471. (a)...Ch. 9.7 - In the following exercises, simplify. 472. (a)...Ch. 9.7 - In the following exercises, simplify. 473. (a)...Ch. 9.7 - In the following exercises, simplify. 474. (a)...Ch. 9.7 - In the following exercises, simplify. 475. (a)...Ch. 9.7 - In the following exercises, simplify. 476. (a) 325...Ch. 9.7 - In the following exercises, simplify. 477. (a) 83...Ch. 9.7 - In the following exercises, simplify. 478. (a) p...Ch. 9.7 - In the following exercises, simplify. 479. (a) d...Ch. 9.7 - In the following exercises, simplify. 480. (a) u...Ch. 9.7 - In the following exercises, simplify. 481. (a) r...Ch. 9.7 - In the following exercises, simplify. 482. (a)...Ch. 9.7 - In the following exercises, simplify. 483. (a)...Ch. 9.7 - In the following exercises, simplify. 484. (a)...Ch. 9.7 - In the following exercises, simplify. 485. (a)...Ch. 9.7 - In the following exercises, simplify. 486. (a)...Ch. 9.7 - In the following exercises, simplify. 487. (a) 96r...Ch. 9.7 - In the following exercises, simplify. 488. (a)...Ch. 9.7 - In the following exercises, simplify. 489. (a)...Ch. 9.7 - In the following exercises, simplify. 490. (a)...Ch. 9.7 - In the following exercises, simplify. 491. (a)...Ch. 9.7 - In the following exercises, simplify. 492. (a)...Ch. 9.7 - In the following exercises, simplify. 493. (a)...Ch. 9.7 - In the following exercises, simplify. 494. (a)...Ch. 9.7 - In the following exercises, simplify. 495. (a)...Ch. 9.7 - In the following exercises, simplify. 496. (a)...Ch. 9.7 - In the following exercises, simplify. 497. (a)...Ch. 9.7 - In the following exercises, simplify. 498. (a)...Ch. 9.7 - In the following exercises, simplify. 499. (a)...Ch. 9.7 - In the following exercises, simplify. 500. 164Ch. 9.7 - In the following exercises, simplify. 501. 646Ch. 9.7 - In the following exercises, simplify. 502. a33Ch. 9.7 - In the following exercises, simplify. 503. b1212Ch. 9.7 - In the following exercises, simplify. 504. 8c93Ch. 9.7 - In the following exercises, simplify. 505. 125d153Ch. 9.7 - In the following exercises, simplify. 506. r53Ch. 9.7 - In the following exercises, simplify. 507. s104Ch. 9.7 - In the following exercises, simplify. 508. 108x53Ch. 9.7 - In the following exercises, simplify. 509. 48y64Ch. 9.7 - In the following exercises, simplify. 510. 4865Ch. 9.7 - In the following exercises, simplify. 511. 646Ch. 9.7 - In the following exercises, simplify. 512. 64424Ch. 9.7 - In the following exercises, simplify. 513....Ch. 9.7 - In the following exercises, simplify. 514. 96r...Ch. 9.7 - In the following exercises, simplify. 515....Ch. 9.7 - In the following exercises, simplify. 516. 8131923Ch. 9.7 - In the following exercises, simplify. 517. 5124324Ch. 9.7 - In the following exercises, simplify. 518....Ch. 9.7 - In the following exercises, simplify. 519....Ch. 9.7 - Population growth The expression 10xn models the...Ch. 9.7 - Spread of a virus The expression 3xn models the...Ch. 9.7 - Explain how you know that x105=x2 .Ch. 9.7 - Explain why 644 is not a real number but 643 is.Ch. 9.8 - Write as a radical expression: (a) t12 (b) m13 (c)...Ch. 9.8 - Write as a radical expression: (a) b12 (b) z13 (c)...Ch. 9.8 - Write with a rational exponent: (a) s (b) x3 (c)...Ch. 9.8 - Write with a rational exponent: (a) v (b) p3 (c)...Ch. 9.8 - Write with a rational exponent: (a) 10m (b) 3n5...Ch. 9.8 - Write with a rational exponent: (a) 73k (b) 5j4...Ch. 9.8 - Simplify: (a) 3612 (b) 813 (c) 1614 .Ch. 9.8 - Simplify: (a) 10012 (b) 2713 (c) 8114 .Ch. 9.8 - Simplify: (a) (125)13 (b) 12513 (c) (125)13 .Ch. 9.8 - Simplify: (a) (32)15 (b) 3215 (c) (32)15 .Ch. 9.8 - Simplify: (a) (64)12 (b) 6412 (c) (64)12 .Ch. 9.8 - Simplify: (a) (256)14 (b) 25614 (c) (256)14 .Ch. 9.8 - Write with a rational exponent: (a) x5 (b) z34 (c)...Ch. 9.8 - Write with a rational exponent: (a) a25 (b) b73...Ch. 9.8 - Simplify: (a) 432 (b) 2723 (c) 62534 .Ch. 9.8 - Simplify: (a) 853 (b) 8132 (c) 1634 .Ch. 9.8 - Simplify: (a) 853 (b) 8132 (c) 1634 .Ch. 9.8 - Simplify: (a) 432 (b) 2723 (c) 62534 .Ch. 9.8 - Simplify: (a) 1632 (b) 1632 (c) (16)32 .Ch. 9.8 - Simplify: (a) 8132 (b) 8132 (c) (81)32 .Ch. 9.8 - Simplify: (a) 323343 (b) y13y83 (c) m14m34 .Ch. 9.8 - Simplify: (a) 535575 (b) z18z78 (c) n27n57 .Ch. 9.8 - Simplify: (a) (p 10)15 (b) (q8)34 (c) (x6)43 .Ch. 9.8 - Simplify: (a) (r6)53 (b) (s 12)34 (c) (m9)29 .Ch. 9.8 - Simplify: (a) u55u14 (b) v35v25 (c) x23x53 .Ch. 9.8 - Simplify: (a) c 125c25 (b) m54m94 (c) d15d65 .Ch. 9.8 - Simplify: (a) (32x 1 3 )35 (b) (64y 2 3 )13 .Ch. 9.8 - Simplify: (a) (16m 1 3 )32 (b) (81n 2 5 )32 .Ch. 9.8 - Simplify: (a) m23m13m53 (b) n16nn 116 .Ch. 9.8 - Simplify: (a) u45u25u 135 (b) v12vv72 .Ch. 9.8 - In the following exercises, write as a radical...Ch. 9.8 - In the following exercises, write as a radical...Ch. 9.8 - In the following exercises, write as a radical...Ch. 9.8 - In the following exercises, write as a radical...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, simplify. 536. (a)...Ch. 9.8 - In the following exercises, simplify. 537. (a)...Ch. 9.8 - In the following exercises, simplify. 538. (a)...Ch. 9.8 - In the following exercises, simplify. 539. (a)...Ch. 9.8 - In the following exercises, simplify. 540. (a)...Ch. 9.8 - In the following exercises, simplify. 541. (a)...Ch. 9.8 - In the following exercises, simplify. 542. (a)...Ch. 9.8 - In the following exercises, simplify. 543. (a)...Ch. 9.8 - In the following exercises, simplify. 544. (a)...Ch. 9.8 - In the following exercises, simplify. 545. (a)...Ch. 9.8 - In the following exercises, simplify. 546. (a)...Ch. 9.8 - In the following exercises, simplify. 547. (a)...Ch. 9.8 - In the following exercises, simplify. 548. (a)...Ch. 9.8 - In the following exercises, simplify. 549. (a)...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, write with a rational...Ch. 9.8 - In the following exercises, simplify. 554. (a)...Ch. 9.8 - In the following exercises, simplify. 555. (a)...Ch. 9.8 - In the following exercises, simplify. 556. (a)...Ch. 9.8 - In the following exercises, simplify. 557. (a)...Ch. 9.8 - In the following exercises, simplify. 558. (a)...Ch. 9.8 - In the following exercises, simplify. 559. (a)...Ch. 9.8 - In the following exercises, simplify. 560. (a)...Ch. 9.8 - In the following exercises, simplify. 561. (a)...Ch. 9.8 - In the following exercises, simplify. 562. (a) 932...Ch. 9.8 - In the following exercises, simplify. 563. (a)...Ch. 9.8 - In the following exercises, simplify. 564. (a)...Ch. 9.8 - In the following exercises, simplify. 565. (a)...Ch. 9.8 - In the following exercises, simplify. 566. (a)...Ch. 9.8 - In the following exercises, simplify. 567. (a)...Ch. 9.8 - In the following exercises, simplify. 568. (a)...Ch. 9.8 - In the following exercises, simplify. 569. (a...Ch. 9.8 - In the following exercises, simplify. 570. (a)...Ch. 9.8 - In the following exercises, simplify. 571. (a) (a...Ch. 9.8 - In the following exercises, simplify. 572. (a) (x...Ch. 9.8 - In the following exercises, simplify. 573. (a)...Ch. 9.8 - In the following exercises, simplify. 574. (a)...Ch. 9.8 - In the following exercises, simplify. 575. (a) s...Ch. 9.8 - In the following exercises, simplify. 576. (a) t...Ch. 9.8 - In the following exercises, simplify. 577. (a) u...Ch. 9.8 - In the following exercises, simplify. 578. (a) (9p...Ch. 9.8 - In the following exercises, simplify. 579. (a)...Ch. 9.8 - In the following exercises, simplify. 580. (a)...Ch. 9.8 - In the following exercises, simplify. 581. (a)...Ch. 9.8 - In the following exercises, simplify. 582. (a)...Ch. 9.8 - In the following exercises, simplify. 583. (a)...Ch. 9.8 - In the following exercises, simplify. 584. (a)...Ch. 9.8 - In the following exercises, simplify. 585. (a) (r...Ch. 9.8 - In the following exercises, simplify. 586. (a)...Ch. 9.8 - In the following exercises, simplify. 587. (a)...Ch. 9.8 - In the following exercises, simplify. 588. (a)...Ch. 9.8 - In the following exercises, simplify. 589. (a)...Ch. 9.8 - In the following exercises, simplify. 590. 452412Ch. 9.8 - In the following exercises, simplify. 591. n26n46Ch. 9.8 - In the following exercises, simplify. 592. (a...Ch. 9.8 - In the following exercises, simplify. 593. (b...Ch. 9.8 - In the following exercises, simplify. 594. w25w75Ch. 9.8 - In the following exercises, simplify. 595. z23z83Ch. 9.8 - In the following exercises, simplify. 596. (27r 3...Ch. 9.8 - In the following exercises, simplify. 597. (64s 3...Ch. 9.8 - In the following exercises, simplify. 598. (r9s...Ch. 9.8 - In the following exercises, simplify. 599. (u 12v...Ch. 9.8 - Landscaping Joe wants to have a square garden plot...Ch. 9.8 - Landscaping Elliott wants to make a square patio...Ch. 9.8 - Gravity While putting up holiday decorations, Bob...Ch. 9.8 - Gravity An airplane dropped a flare from a height...Ch. 9.8 - Show two different algebraic methods to simplify...Ch. 9.8 - Explain why the expression (16)32 cannot be...Ch. 9 - In the following exercises, simplify. 606. 64Ch. 9 - In the following exercises, simplify. 607. 144Ch. 9 - In the following exercises, simplify. 608. 25Ch. 9 - In the following exercises, simplify. 609. 81Ch. 9 - In the following exercises, simplify. 610. 9Ch. 9 - In the following exercises, simplify. 611. 36Ch. 9 - In the following exercises, simplify. 612. 64+225Ch. 9 - In the following exercises, simplify. 613. 64+225Ch. 9 - In the following exercises, estimate each square...Ch. 9 - In the following exercises, estimate each square...Ch. 9 - In the following exercises, approximate each...Ch. 9 - In the following exercises, approximate each...Ch. 9 - In the following exercises, simplify. 618. q2Ch. 9 - In the following exercises, simplify. 619. 64b2Ch. 9 - In the following exercises, simplify. 620. 121a2Ch. 9 - In the following exercises, simplify. 621. 225m2n2Ch. 9 - In the following exercises, simplify. 622. 100q2Ch. 9 - In the following exercises, simplify. 623. 49y2Ch. 9 - In the following exercises, simplify. 624. 4a2b2Ch. 9 - In the following exercises, simplify. 625. 121c2d2Ch. 9 - In the following exercises, simplify. 626. 300Ch. 9 - In the following exercises, simplify. 627. 98Ch. 9 - In the following exercises, simplify. 628. x13Ch. 9 - In the following exercises, simplify. 629. y19Ch. 9 - In the following exercises, simplify. 630. 16m4Ch. 9 - In the following exercises, simplify. 631. 36n13Ch. 9 - In the following exercises, simplify. 632. 288m21Ch. 9 - In the following exercises, simplify. 633. 150n7Ch. 9 - In the following exercises, simplify. 634. 48r5s4Ch. 9 - In the following exercises, simplify. 635. 108r5s3Ch. 9 - In the following exercises, simplify. 636. 10505Ch. 9 - In the following exercises, simplify. 637. 6+726Ch. 9 - In the following exercises, simplify. 638. 1625Ch. 9 - In the following exercises, simplify. 639. 8136Ch. 9 - In the following exercises, simplify. 640. x8x4Ch. 9 - In the following exercises, simplify. 641. y6y2Ch. 9 - In the following exercises, simplify. 642. 98p62p2Ch. 9 - In the following exercises, simplify. 643. 72q82q4Ch. 9 - In the following exercises, simplify. 644. 65121Ch. 9 - In the following exercises, simplify. 645. 26169Ch. 9 - In the following exercises, simplify. 646....Ch. 9 - In the following exercises, simplify. 647. 36r...Ch. 9 - In the following exercises, simplify. 648....Ch. 9 - In the following exercises, simplify. 649....Ch. 9 - In the following exercises, simplify. 650. 32+2Ch. 9 - In the following exercises, simplify. 651. 55+75Ch. 9 - In the following exercises, simplify. 652. 4y+4yCh. 9 - In the following exercises, simplify. 653. 6m2mCh. 9 - In the following exercises, simplify. 654. 37+277Ch. 9 - In the following exercises, simplify. 655....Ch. 9 - In the following exercises, simplify. 656....Ch. 9 - In the following exercises, simplify. 657....Ch. 9 - In the following exercises, simplify. 658. 32+32Ch. 9 - In the following exercises, simplify. 659. 8+32Ch. 9 - In the following exercises, simplify. 660. 72+50Ch. 9 - In the following exercises, simplify. 661. 48+75Ch. 9 - In the following exercises, simplify. 662. 332+98Ch. 9 - In the following exercises, simplify. 663....Ch. 9 - In the following exercises, simplify. 664....Ch. 9 - In the following exercises, simplify. 665....Ch. 9 - In the following exercises, simplify. 666. 220Ch. 9 - In the following exercises, simplify. 667. 22614Ch. 9 - In the following exercises, simplify. 668. 2m220m4Ch. 9 - In the following exercises, simplify. 669....Ch. 9 - In the following exercises, simplify. 670....Ch. 9 - In the following exercises, simplify. 671. (8)2Ch. 9 - In the following exercises, simplify. 672. ( 10)2Ch. 9 - In the following exercises, simplify. 673....Ch. 9 - In the following exercises, simplify. 674....Ch. 9 - In the following exercises, simplify. 675. 10(27)Ch. 9 - In the following exercises, simplify. 676. 3(4+12)Ch. 9 - In the following exercises, simplify. 677....Ch. 9 - In the following exercises, simplify. 678....Ch. 9 - In the following exercises, simplify. 679....Ch. 9 - In the following exercises, simplify. 680....Ch. 9 - In the following exercises, simplify. 681. (1+6p)2Ch. 9 - In the following exercises, simplify. 682. (265)2Ch. 9 - In the following exercises, simplify. 683....Ch. 9 - In the following exercises, simplify. 684....Ch. 9 - In the following exercises, simplify. 685. 7510Ch. 9 - In the following exercises, simplify. 686. 2126Ch. 9 - In the following exercises, simplify. 687. 4827Ch. 9 - In the following exercises, simplify. 688. 75x73x3Ch. 9 - In the following exercises, simplify. 689. 20y52yCh. 9 - In the following exercises, simplify. 690....Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve the equation....Ch. 9 - In the following exercises, solve. Round...Ch. 9 - In the following exercises, solve. Round...Ch. 9 - In the following exercises, solve. Round...Ch. 9 - In the following exercises, simplify. 721. (a) 646...Ch. 9 - In the following exercises, simplify. 722. (a) 273...Ch. 9 - In the following exercises, simplify. 723. (a) d99...Ch. 9 - In the following exercises, simplify. 724. (a)...Ch. 9 - In the following exercises, simplify. 725. (a)...Ch. 9 - In the following exercises, simplify. 726. (a)...Ch. 9 - In the following exercises, simplify. 727. (a) d99...Ch. 9 - In the following exercises, simplify. 728. (a) 543...Ch. 9 - In the following exercises, simplify. 729. (a)...Ch. 9 - In the following exercises, simplify. 730. (a)...Ch. 9 - In the following exercises, simplify. 731. (a)...Ch. 9 - In the following exercises, simplify. 732. r 10r55Ch. 9 - In the following exercises, simplify. 733. w 12w23Ch. 9 - In the following exercises, simplify. 734....Ch. 9 - In the following exercises, simplify. 735....Ch. 9 - In the following exercises, simplify. 736. 64a7b26Ch. 9 - In the following exercises, simplify. 737....Ch. 9 - In the following exercises, simplify. 738....Ch. 9 - In the following exercises, simplify. 739....Ch. 9 - In the following exercises, simplify. 740....Ch. 9 - In the following exercises, simplify. 741....Ch. 9 - In the following exercises, write as a radical...Ch. 9 - In the following exercises, write as a radical...Ch. 9 - In the following exercises, write with a rational...Ch. 9 - In the following exercises, write with a rational...Ch. 9 - In the following exercises, write with a rational...Ch. 9 - In the following exercises, write with a rational...Ch. 9 - In the following exercises, simplify. 748. 1614Ch. 9 - In the following exercises, simplify. 749. 3215Ch. 9 - In the following exercises, simplify. 750. (125)13Ch. 9 - In the following exercises, simplify. 751. (125)13Ch. 9 - In the following exercises, simplify. 752. (9)12Ch. 9 - In the following exercises, simplify. 753. (36)12Ch. 9 - In the following exercises, write with a rational...Ch. 9 - In the following exercises, write with a rational...Ch. 9 - In the following exercises, simplify. 756. 2723Ch. 9 - In the following exercises, simplify. 757. 6452Ch. 9 - In the following exercises, simplify. 758. 3632Ch. 9 - In the following exercises, simplify. 759. 8152Ch. 9 - In the following exercises, simplify. 760. 345365Ch. 9 - In the following exercises, simplify. 761. (x6)43Ch. 9 - In the following exercises, simplify. 762. z52z75Ch. 9 - In the following exercises, simplify. 763. (16s 9...Ch. 9 - In the following exercises, simplify. 764. (m8n...Ch. 9 - In the following exercises, simplify. 765....Ch. 9 - In the following exercises, simplify. 766. 81+144Ch. 9 - In the following exercises, simplify. 767. 169m4n2Ch. 9 - In the following exercises, simplify. 768. 36n13Ch. 9 - In the following exercises, simplify. 769....Ch. 9 - In the following exercises, simplify. 770....Ch. 9 - In the following exercises, simplify. 771....Ch. 9 - In the following exercises, simplify. 772....Ch. 9 - In the following exercises, simplify. 773. (12q)2Ch. 9 - In the following exercises, simplify. 774. (a)...Ch. 9 - In the following exercises, simplify. 775. (a)...Ch. 9 - In the following exercises, simplify. 776. 64r...Ch. 9 - In the following exercises, simplify. 777. 14y37yCh. 9 - In the following exercises, simplify. 778....Ch. 9 - In the following exercises, simplify. 779....Ch. 9 - In the following exercises, simplify. 780. (a)...Ch. 9 - In the following exercises, simplify. 781. 4932Ch. 9 - In the following exercises, simplify. 782. 2552Ch. 9 - In the following exercises, simplify. 783. w34w74Ch. 9 - In the following exercises, simplify. 784. (27s 3...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, rationalize the...Ch. 9 - In the following exercises, solve. 787. 32x320=7Ch. 9 - In the following exercises, solve. 788. 3u2=5u+1Ch. 9 - In the following exercise, solve. 789. A...
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- Expanding a logarithmic expression: Problem type 2 Use the properties of logarithms to expand the following expression. 3 yz log 5 x 0/3 An Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive. log yz 3 厚 5 Explanation Check log ☑ 2025 MG ¿W MIII LLC. All Rights Reserved. Terms of Use | Privacy Centerarrow_forwardWhat is the domain and range, thank you !!arrow_forwardAssume a bivariate patch p(u, v) over the unit square [0, 1]² that is given as a tensor product patch where u-sections (u fixed to some constant û; v varying across [0, 1]) are quadratic polynomials Pu:û(v) = p(û, v) while v-sections are lines pv:ô (u) = p(u, v). The boundary lines pv:o(u) and pv:1 (u) are specified by their end points p(0,0) 0.8 and p(1,0) 0.2 as well as p(0, 1) 0.3 and p(1, 1) = 0.8. The boundary quadratics pu:o(v) and pu:1 (v) interpolate p(0,0.5) = 0.1 and p(1, 0.5) = 0.9 in addition to the above given four corner-values. = = = Use Pu:û(v) = (1, v, v² ) Mq (Pu:û(0), Pu:û (0.5), Pu:û(1)) with Ma = 1 0 0 -3 4-1 2 4 2 (Pv:ô as well as pu: (u) = (1, u) M₁ (pv:v (0), P: (1)) with M₁ = = (19) 0 to formulate p(u, v) using the "geometric input" G with G = = (P(0,0%) p(0,0) p(0,0.5) p(0,1) ) = ( 0.39 0.8 0.1 0.3 0.2 0.9 0.8 p(1,0) p(1, 0.5) p(1, 1) See the figure below for (left) a selection of iso-lines of p(u, v) and (right) a 3D rendering of p(u, v) as a height surface…arrow_forward
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- Use the graph of the function y = g(x) below to answer the questions. y' -5 -4 4- 3- 27 -2 -3+ -4 x 4 (a) Is g(-2) negative? Yes No (b) For which value(s) of x is g(x) > 0? Write your answer using interval notation. ☐ (c) For which value(s) of x is g(x) = 0? If there is more than one value, separate them with commas. 0,0... (0,0) (0,0) (0,0) (0,0) OVO 0arrow_forwardIt is given that E4E3E2E1A=⎡⎣⎢⎢⎢−1002−40488⎤⎦⎥⎥⎥. Here the matrices E4, E3, E2, and, E1 are: E1=⎡⎣⎢⎢⎢100010008⎤⎦⎥⎥⎥E2=⎡⎣⎢⎢⎢100010−501⎤⎦⎥⎥⎥E3=⎡⎣⎢⎢⎢1000−10001⎤⎦⎥⎥⎥E4=⎡⎣⎢⎢⎢001010100⎤⎦⎥⎥⎥arrow_forwardIt is given that E4E3E2E1A=⎡⎣⎢⎢⎢−1002−40488⎤⎦⎥⎥⎥. Here the matrices E4, E3, E2, and, E1 are: E1=⎡⎣⎢⎢⎢100010008⎤⎦⎥⎥⎥E2=⎡⎣⎢⎢⎢100010−501⎤⎦⎥⎥⎥E3=⎡⎣⎢⎢⎢1000−10001⎤⎦⎥⎥⎥E4=⎡⎣⎢⎢⎢001010100⎤⎦⎥⎥⎥ What is the determinant of A?arrow_forward
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