Exercise Answers: Module 48

Answers

1. a) \frac{1}{81} b) \frac{1}{100} 3. a) \frac{1}{256} b) \frac{1}{100} 5. a) {c}^{5} b) 25
7. a) {t}^{9} b) 10000 9. a) \frac{100}{9} b) -\frac{{c}^{3}{d}^{3}}{8} 11. a) \frac{8}{343} b) -\frac{{x}^{3}{y}^{6}}{27}
13. a) \frac{1}{49} b) -\frac{1}{49}c) 49 d) -49 15. a) -\frac{1}{125} b) -125 c) -125d)-\frac{1}{125} 17. a) \frac{2}{5} b) \frac{1}{10}
19. a) \frac{3}{16} b) \frac{1}{144} 21. a)\frac{1}{{b}^{5}} b) \frac{1}{{k}^{10}} 23. a) \frac{1}{{s}^{8}} b) \frac{1}{{a}^{90}}
25. a) \frac{6}{r} b) \frac{1}{6r}c)-\frac{1}{6r} 27. a)\frac{1}{16{q}^{4}} b) \frac{2}{{q}^{4}} c) -\frac{2}{{q}^{4}} 29. a) \frac{1}{{s}^{4}} b) \frac{1}{{q}^{5}} c) \frac{1}{{y}^{7}}
31. a) 1 b) {y}^{6} c) \frac{1}{{y}^{4}} 33. \frac{1}{x} 35. \frac{1}{{m}^{2}{n}^{4}}
37. \frac{1}{{p}^{5}{q}^{7}} 39. -\frac{14{k}^{5}}{{j}^{3}} 41. -\frac{40{n}^{3}}{m}
43. \frac{1}{64{y}^{9}} 45. \frac{4}{{p}^{10}} 47. {n}^{7}
49. {y}^{5} 51. 3.4\phantom{\rule{0.2em}{0ex}}\times\phantom{\rule{0.2em}{0ex}}{10}^{5} 53. 1.29\phantom{\rule{0.2em}{0ex}}\times\phantom{\rule{0.2em}{0ex}}{10}^{6}
55. 4.1\phantom{\rule{0.2em}{0ex}}\times\phantom{\rule{0.2em}{0ex}}{10}^{-2} 57. 1.03\phantom{\rule{0.2em}{0ex}}\times\phantom{\rule{0.2em}{0ex}}{10}^{-6} 59. 830
61. 16,000,000,000 63. 0.038 65. 0.0000193
67. 0.02 69. 5.6\phantom{\rule{0.2em}{0ex}}\times\phantom{\rule{0.2em}{0ex}}{10}^{-6} 71. 500,000,000
73. 20,000,000 75. 6.85\phantom{\rule{0.2em}{0ex}}\times\phantom{\rule{0.2em}{0ex}}{10}^{9}. 77. 5.7\phantom{\rule{0.2em}{0ex}}\times\phantom{\rule{0.2em}{0ex}}{10}^{-10}
79. 15,000,000,000,000 81. 0.00001 83. 1.545\phantom{\rule{0.2em}{0ex}}\times\phantom{\rule{0.2em}{0ex}}{10}^{8}
85. a) 1.86\phantom{\rule{0.2em}{0ex}}\times\phantom{\rule{0.2em}{0ex}}{10}^{13} b) 3\phantom{\rule{0.2em}{0ex}}\times\phantom{\rule{0.2em}{0ex}}{10}^{8} c) 6.2\phantom{\rule{0.2em}{0ex}}\times\phantom{\rule{0.2em}{0ex}}{10}^{4} 87. Answers will vary

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