Division Properties of Exponents ALGEBRA 1 LESSON 8-5 pages 420–423  Exercises 1. 7 2. 1 3. –3 4. 0 5. 6. 4 7. 8. m3 9. 10. y 11. 20. 1  10–12 s 21. 22. 23. 24. 25. 26. 27. 28. 29. t 11 27m4 12. 13. 5  107 14. 3  10–5 15. 6  102 16. 4.2  103 17. 1.5  10–6 18. 7  10–3 19. a. 3.86  1011 h; 2.65  108 people b. about 1457 h c. about 4.0 h 9 25 1 x3 32x 5 y 5 81a 4 16b 4 1 4 64 125 1 c3 1 9 36 n12 s2 2 8p 3 125 3 2 1 cd 2 8-5

Division Properties of Exponents ALGEBRA 1 LESSON 8-5 30. 31. 32. – 33. 34. 35. 36. 1 37. 53 simplifies to 125. 38. y–2 contains a negative exponent. 39. Each term should be raised to the 4th power and simplified. 9 4 40. x0 simplifies to 1. 41. The base d should appear only once. 42. 43. 44. 45. a6 46. 47. 48. 49. 49 9 4 27 8 9 8 x 8 25 1 16m12 8 n3 1 25 1 c12 t 6 27 1 n28 9 4k 10 8-5

Division Properties of Exponents ALGEBRA 1 LESSON 8-5 50. a. 9.74  107 households; 5.44  1011 local calls; 9.7  1010 long-distance calls b. about 5585 local calls c. about 996 long-distance calls 51. a. Answers may vary. Sample: can be written as c4–6 or c–2; c–2 = . b. Check students’ work. 52. 53. 54. 55. 5 56. 57. 20,736 58. 59. 60. a. about 0.02% b. about 99.98% 61. Answers may vary. Sample: You can raise the numerator and denominator to the power and then simplify or simplify and then raise to the power. r 5 p 25q5 y 6 81 y 6 81 3b 5 5a c 4 c 6 1 c 2 a 4 4b 10 a 5c5 b 3 3 4 8-5

Division Properties of Exponents ALGEBRA 1 LESSON 8-5 62. a. about $12,988 b. about $20,733 c. about 60% 63. a. The student treated as 4. b. 125 64. 5 65. 7 66. d 3 67. 1010 68. 3 69. 2 70. 2 71. 3 72. a. about 1.2  106 s b. about 13.9 days 73. a-b. Check students’ work. c. No, the power may remain the same or be one less. 74. def. of neg. exponent 75. dividing powers with the same base, def. of neg. exponent 76. raising a quotient to a power 77. mult. powers with the same base 78. raising a power to a power, dividing powers with the same base, def. of neg. exponents 7m 5n 5c 6 54 5 5 3 5 m n 3x 2y 2 13m 8-5

Division Properties of Exponents ALGEBRA 1 LESSON 8-5 79. n2 80. n4x 81. x4 82. 83. a. b. The closer the ratio is to 1, the more circular the orbit. c. Pluto, Venus 84. B 85. G 86. D 87. B 88. C 89. B 1 n 2 8-5

Division Properties of Exponents ALGEBRA 1 LESSON 8-5 90. [4] (7.43  108) ÷ (2.5  104) = 2.972  104, 29,720 h; • • 3.4 years about 3.4 years (OR equivalent explanation) [3] appropriate methods but one computational error [2] error in conversion factor used or a missing conversion factor [1] correct number of hours and years but no work shown 91. 27y6 92. 93. 94. 95. 96. 9r6 29,720 hours 1 1 day 24 hours 1 year 365 days 97. n4 98. 1 99. (0, 0) 100. (–4, –7) 8 m 21 t 20 r 8 2s 6 27 1 8c 2 8-5

Division Properties of Exponents ALGEBRA 1 LESSON 8-5 101. (3, 5) 102. no solution 103. 8-5