Zero and Negative Exponents ALGEBRA 1 LESSON 8-1 pages 397–399  Exercises 1. –1 2. 3. 4. – 5. 6. – 7. 8. – 9. 1 10. 22. 23. 24. 25. 26. 27. 4c3 28. 29. 30. 31. 32. 33. 34. 35. – 36. 1 37. 38. 39. 40. 41. – 42. 43. –27 1 a 4 1 25 11. – 12. – 13. –2 14. 3; 4 15. 0; –3 16. –5 17. 3a 18. 19. x 7 20. c 21. 1 64 3 x 2 y 1 9 1 16 1 64 7a 3b 2 w 1 9 1 25 1 x 5 y 7 1 25 3 25 y 7 x 5 1 16 1 100 1 81 7st 3 5 25 81 1 64 5 x 4 6 ac 3 81 25 1 12 x 2 8z 7 25 27 y 7 t 11 1 25 1 78 1 25p 14 m 2t 5 8-1

Zero and Negative Exponents ALGEBRA 1 LESSON 8-1 44. – 45. a. $20.48; $.32 b. No; the value of the allowance rapidly becomes very great. 46. neg. 47. pos. 48. pos. 49. neg. 50. neg. 51. 10–1 52. 10–2 53. 10–3 27 400 54. 10–4 55. 10–5 56. 0.001 57. 0.000001 58. 0.7 59. 0.03 60. 0.0005 61. a. 5–2, 5–1, 50, 51, 52 b. 54 c. 62. In –30, 3 is raised to the zero power, and then the opposite is determined. In (–3)0, the number –3 is raised to the zero power. 63. 45 64. 6 65. 40 66. 67. – 68. 16 69. 70. 71. 72. –1 1 4 1 243 2 9 a n 1 1 8 1 16 8-1

Zero and Negative Exponents ALGEBRA 1 LESSON 8-1 73. 74. a. 1 b. They are reciprocals for a = 0; = a –n and = = an. 75. A, B, D 76. Check students’ work. 77. No; 3x–2 • 3x2 = 9 • x0 = 9. The product of reciprocals should be 1. 78. The student multiplied b by zero instead of raising b to the zero power, which would equal 1. 79. a. 1 correct, 0.4096; 2 correct, 0.1536; 3 correct, 0.0256; 4 correct, 0.0016 b. 0 or 1 80. about 4 students; about 16 students; about 29 students 81. 8 – 48m2 82. 21 83. 84. 2.9375 85. 86. –7 87. 1 and –1 / 1 a n 1 a –n 1 a n 141 m 2 4 nr 7y 2 1 4 8-1

Zero and Negative Exponents ALGEBRA 1 LESSON 8-1 88. 89. 90. 91. 1 92. 0.26 93. 258.4 94. 2 3 95. 96. 97. a-b. c. Answers may vary slightly. Sample: y = 53x – 4328 d. Answers may vary slightly. Sample: $1,237,000,000 98. y = –x + 4 99. y = 5x – 2 100. y = x – 3 101. y = – x – 17 102. y = x + 103. y = 1.25x – 3.79 1 9 1 64 2 5 3 11 5 9 1 3 8-1