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Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 9, Problem 676RE
In the following exercises, simplify.
676.
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You are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methods
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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