Exercise Answers: Module 47

Answers

2. a) {y}^{10} b) {7}^{14} 4. a) {u}^{21} b) {9}^{10}
6. a) \frac{1}{{t}^{30}} b) \frac{1}{64} 8. a) \frac{1}{{x}^{6}} b) \frac{1}{100}
10. a) 1 b) 1 12. a) -1 b) -1
14. a) 1 b) 6 16. a) 7 b) 1
18. a) -7 b) 0 20. a) \frac{4}{25} b) \frac{{x}^{4}}{81} c) \frac{{a}^{5}}{{b}^{5}}
22. a) \frac{{x}^{3}}{8{y}^{3}} b) \frac{10,000}{81{q}^{4}} 24. {p}^{7}
26. {x}^{5} 28. 1
30. \frac{1}{{n}^{12}} 32. {q}^{18}
34. \frac{1}{{m}^{12}} 36. \frac{{a}^{3}}{{b}^{18}}
38. \frac{{y}^{20}}{{z}^{50}} 40. \frac{27{m}^{15}}{125{n}^{3}}
42. \frac{625{u}^{28}}{16{v}^{{}^{12}}} 44. {j}^{9}
46. \frac{1}{{q}^{8}} 48. 64{k}^{6}
50. -4,000 52. 7{v}^{8}
54. -6{u}^{8} 56. -\frac{3{x}^{3}}{{y}^{12}}
58. \frac{-2{m}^{3}}{3{n}^{5}} 60. \frac{-3{y}^{3}}{4{x}^{3}}
62. \frac{65{a}^{3}{b}^{2}}{42{c}^{3}} 64. \frac{-3{q}^{5}}{{p}^{5}}
66. \frac{5{v}^{4}}{{u}^{2}} 68.

a) 18{n}^{10}
b) 12{n}^{10}
c) 45{n}^{20}
d) 5

70.

a) {q}^{8}
b) {q}^{15}

72. a) z b) \frac{1}{z}
74. 6{y}^{6} 76. 15{c}^{6}
78. 3{x}^{2} 80. -y{z}^{2}
82. {10}^{3} 84. Answers will vary.
86. Answers will vary.

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