Multiplication Properties of Exponents ALGEBRA 1 LESSON 8
Multiplication Properties of Exponents ALGEBRA 1 LESSON 8 -3 pages 407– 410 Exercises 1. 210 12. – 4. 8 n 3 22. 6 105 5 2. 28 13. b 3 23. 6 109 3. 1 14. – 7 24. 4 103 4. (0. 99)3 15. – 45 a 4 25. 3. 4 10– 5 5 y 3 26. 5. 6 10– 7 6. 1 16. x 17. 45 x 7 y 6 7. c 5 18. 12 a 6 c 8 28. about 2. 5578 1013 mi 8. 3 r 5 19. x 10 y 2 9. 10 t – 7 20. a 8 b 29. 1. 08 1021 dollars 5. 69 10. 56 x 6 21. – 27. 1. 5 1022 240 m 3 r 11. 3 x 4 8 -3 30. about 3. 84 105 km 31. 9
Multiplication Properties of Exponents ALGEBRA 1 LESSON 8 -3 32. – 4 44. – 6 x 6 54. about 1. 01 g 33. – 3 45. 12 a 7 34. 11 46. x 10 35. – 5 47. 34 • 22 36. 5 48. 2. 7 10– 8 55. a. y 1 y 7; y 2 y 6; y 3 y 5; y 4 y 4 b. Answers may vary. Sample: y– 1 y 9; y– 2 y 10; y– 3 y 11; y– 4 y 12 c. An infinite number; there an infinite number of integer pairs with a sum of 8. 37. – 4 49. 8. 0 105 38. 0 50. 2. 1 39. 2, – 3 56. a. about 10– 7 m b. Longer; 1 < 4 < 7 so 1 10– 7 < 10– 5 40. 6 x 3 + 2 x 2 51. 1. 2 10– 4 41. 4 x 4 52. 8. 0 10– 8 42. 4 y 5 + 8 y 2 53. 1. 5 108 4 10– 7 < 7 10– 7. 57. Answers may vary. Sample: The property of multiplying powers only applies when 2 terms have the same base. 43. 4 c 4 8 -3
Multiplication Properties of Exponents ALGEBRA 1 LESSON 8 -3 58. about 5. 85 103 m 59. 7. 65 1014 60. 4. 0392 108 61. 7. 039305 10– 7 62. 1. 7882786 10– 12 63. about 6. 7 1033 molecules 64. 1. 428 1033 molecules 65. x 3 66. 1 a 67. 5 c 3 68. 6 a 3 + 10 a 2 69. 8 m 5 + 56 m 3 78. 700 times 70. – 8 x 5 + 36 x 4 79. D 71. 81 80. F 72. 22 n+3 81. A 73. 2 x+y • 3 x+2 82. B 74. 1 a+b 75. (t + 3)2 76. 25 77. a. 1. 833 10– 9 km 3 b. 1. 833 m 3 8 -3 83. [2] 365 4. 7 107 = 1715. 5 107 = 1. 7155 1010: about 1. 7 1010 diapers [1] no work shown OR answer not written in scientific notation
Multiplication Properties of Exponents ALGEBRA 1 LESSON 8 -3 84. [4] a. 4 r 2 b. 4(5)2 = 4 25 = 100 in. 2 c. 144 = 4 r 2, 36 = r 2 so r = 6, d = 2 r = 12, 12 in. [3] radius found in (c) but not the diameter [2] only two questions answered correctly [1] only one question answered correctly 89. 876, 000 90. 0. 001052 91. 910, 000, 000 92. 0. 00029 93. 96. 18; 34; 46 97. – 1; 7; 13 98. 4; – 12; – 24 85. 1. 28 106 86. 3. 5 10– 3 95. 99. – 6. 8; – 22. 8; – 34. 8 94. 87. 9. 0 10– 5 88. 6. 2 106 8 -3
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