
Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 9.5, Problem 9.142TI
Simplify:
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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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- Here is an augmented matrix for a system of equations (three equations and three variables). Let the variables used be x, y, and z: 1 2 4 6 0 1 -1 3 0 0 1 4 Note: that this matrix is already in row echelon form. Your goal is to use this row echelon form to revert back to the equations that this represents, and then to ultimately solve the system of equations by finding x, y and z. Input your answer as a coordinate point: (x,y,z) with no spaces.arrow_forward1 3 -4 In the following matrix perform the operation 2R1 + R2 → R2. -2 -1 6 After you have completed this, what numeric value is in the a22 position?arrow_forward5 -2 0 1 6 12 Let A = 6 7 -1 and B = 1/2 3 -14 -2 0 4 4 4 0 Compute -3A+2B and call the resulting matrix R. If rij represent the individual entries in the matrix R, what numeric value is in 131? Input your answer as a numeric value only.arrow_forward
- 1 -2 4 10 My goal is to put the matrix 5 -1 1 0 into row echelon form using Gaussian elimination. 3 -2 6 9 My next step is to manipulate this matrix using elementary row operations to get a 0 in the a21 position. Which of the following operations would be the appropriate elementary row operation to use to get a 0 in the a21 position? O (1/5)*R2 --> R2 ○ 2R1 + R2 --> R2 ○ 5R1+ R2 --> R2 O-5R1 + R2 --> R2arrow_forwardThe 2x2 linear system of equations -2x+4y = 8 and 4x-3y = 9 was put into the following -2 4 8 augmented matrix: 4 -3 9 This augmented matrix is then converted to row echelon form. Which of the following matrices is the appropriate row echelon form for the given augmented matrix? 0 Option 1: 1 11 -2 Option 2: 4 -3 9 Option 3: 10 ܂ -2 -4 5 25 1 -2 -4 Option 4: 0 1 5 1 -2 Option 5: 0 0 20 -4 5 ○ Option 1 is the appropriate row echelon form. ○ Option 2 is the appropriate row echelon form. ○ Option 3 is the appropriate row echelon form. ○ Option 4 is the appropriate row echelon form. ○ Option 5 is the appropriate row echelon form.arrow_forwardLet matrix A have order (dimension) 2x4 and let matrix B have order (dimension) 4x4. What results when you compute A+B? The resulting matrix will have dimensions of 2x4. ○ The resulting matrix will be a single number (scalar). The resulting matrix will have dimensions of 4x4. A+B is undefined since matrix A and B do not have the same dimensions.arrow_forward
- If -1 "[a446]-[254] 4b = -1 , find the values of a and b. ○ There is no solution for a and b. ○ There are infinite solutions for a and b. O a=3, b=3 O a=1, b=2 O a=2, b=1 O a=2, b=2arrow_forwardA student puts a 3x3 system of linear equations is into an augmented matrix. The student then correctly puts the augmented matrix into row echelon form (REF), which yields the following resultant matrix: -2 3 -0.5 10 0 0 0 -2 0 1 -4 Which of the following conclusions is mathematically supported by the work shown about system of linear equations? The 3x3 system of linear equations has no solution. ○ The 3x3 system of linear equations has infinite solutions. The 3x3 system of linear equations has one unique solution.arrow_forwardSolve the following system of equations using matrices: -2x + 4y = 8 and 4x - 3y = 9 Note: This is the same system of equations referenced in Question 14. If a single solution exists, express your solution as an (x,y) coordinate point with no spaces. If there are infinite solutions write inf and if there are no solutions write ns in the box.arrow_forward
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