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Understanding Multiplication Properties of Exponents in Algebra 1 Lessons

Explore the rules of exponents in multiplication and solve exercises for a deeper understanding in Algebra 1 lessons.

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Understanding Multiplication Properties of Exponents in Algebra 1 Lessons

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  1. 25 58 y3 x 240m3 r Multiplication Properties of Exponents ALGEBRA 1 LESSON 8-3 pages 407–410  Exercises 1. 210 2. 3. 1 4. (0.99)3 5. 69 6. 1 7. c5 8. 3r5 9. 10t –7 10. 56x 6 11. 3x4 22. 6  105 23. 6  109 24. 4  103 25. 3.4  10–5 26. 5.6  10–7 27. 1.5  1022 28. about 2.5578  1013 mi 29. 1.08  1021 dollars 30. about 3.84  105 km 31. 9 12. –4.8n3 13.b3 14. –7 15. –45a4 16. 17. 45x 7y 6 18. 12a6c8 19.x10y2 20.a8b 21. – 8-3

  2. Multiplication Properties of Exponents ALGEBRA 1 LESSON 8-3 32. –4 33. –3 34. 11 35. –5 36. 5 37. –4 38. 0 39. 2, –3 40. 6x3 + 2x2 41. 4x4 42. 4y5 + 8y2 43. 4c4 44. –6x6 45. 12a7 46.x10 47. 34 • 22 48. 2.7  10–8 49. 8.0  105 50. 2.1  10–5 51. 1.2  10–4 52. 8.0  10–8 53. 1.5  108 54. about 1.01 g 55.a.y1y7; y2y6; y3y5; y4y4 b. Answers may vary. Sample: y–1y9; y–2y10; y–3y11; y–4y12 c. An infinite number; there are an infinite number of integer pairs with a sum of 8. 56.a. about 10–7 m b. Longer; 1 < 4 < 7 so 1  10–7 < 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. 8-3

  3. 1 a + b 1 a Multiplication Properties of Exponents ALGEBRA 1 LESSON 8-3 69. 8m5 + 56m3 70. –8x5 + 36x4 71. 81 72. 22n+3 73. 2x+y • 3x+2 74. 75. (t + 3)2 76. 25 77.a. 1.833  10–9 km3 b. 1.833 m3 78. 700 times 79. D 80. F 81. A 82. B 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 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.x3 66. 67. 5c3 68. 6a3 + 10a2 8-3

  4. Multiplication Properties of Exponents ALGEBRA 1 LESSON 8-3 95. 96. 18; 34; 46 97. –1; 7; 13 98. 4; –12; –24 99. –6.8; –22.8; –34.8 89. 876,000,000 90. 0.001052 91. 910,000,000,000 92. 0.00029 93. 94. 84.[4] a. 4r 2 b. 4(5)2 = 4  25 = 100 in.2 c. 144 = 4r 2, 36 = r 2 so r = 6, d = 2r = 12, 12 in. [3] radius found in (c) but not the diameter [2] only two questions answered correctly [1] only one question answered correctly 85. 1.28  106 86. 3.5  10–3 87. 9.0  10–5 88. 6.2  106 8-3

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