More Multiplication Properties of Exponents ALGEBRA 1 LESSON

More Multiplication Properties of Exponents ALGEBRA 1 LESSON 8 -4 pages 413– 416 Exercises 12. 1 12 g 4 24. 9 1010 1. c 10 13. 36 y 4 25. 8 10– 30 2. c 10 14. 81 n 24 26. 8 10– 9 3. n 32 15. 4. q 100 16. 1 5. c 19 17. x 16 6. d 15 1 7. t 14 8. x 7 18. 1 8 y 12 8 x 5 y 3 19. 1 1 9. 625 y 4 20. c 18 21. 9 a 6 b 8 10. 1024 m 5 22. 11. 49 a 2 23. 1. 6 1011 a 32 32 c 26 8 -4 27. 4. 9 109 28. 3. 6 1025 29. 6. 25 10– 18 30. 4. 2875 10– 11 31. 32. 33. 34. 35. 36. 8. 57375 10– 10 m 3 3 – 4 4 – 3 0

More Multiplication Properties of Exponents ALGEBRA 1 LESSON 8 -4 37. 8 48. 9 38. – 2 49. 4. 3 104 39. 0 50. – 256 x 4 y 5 40. – 3 51. a. 41. The student who wrote b. x 5 + x 5 = 2 x 5 is correct; c. x 5 times x 5 is x 10. d. 24 x 2; 96 x 2 4 times 8 x 3; 64 x 3 8 times 42. 1 52. (mn)4 43. 243 x 3 53. (ab)5 44. b 17 54. (7 xyz)2 45. 30 x 2 46. 0. 16 4 x 47. – 8 a 9 b 6 57. a. b. c. d. 106 109 1018 58. a. 223 bits b. 230 bytes; 233 bits 59. a. about 5. 15 1014 m 2 b. about 3. 60 1014 m 2 c. about 1. 37 1018 m 3 60. C 61. Add exponents for products of powers as 55. (2 xy)2 in a 2 a 4. Multiply exponents 56. Check students’ work. for powers of powers, as in (a 2)4. 8 -4

More Multiplication Properties of Exponents ALGEBRA 1 LESSON 8 -4 62. 3 73. [2] No, (x 2 + 3 y)2 =/ x 4 + 9 y 2; 3 for x = 2, y = 4: 64. 12 = (4 + 12)2 = 162 = 256; 81. (– 9, – 5) 65. 3 x 4 + 9 y 2 = 24 + 9(4)2 = 82. – 3 16 + 9 • 16 = 160 (OR equivalent explanation) [1] appropriate conclusion but no work shown 67. – 5 68. x 12; x 81; + 3 y)2 3 63. 6 66. 4 (x 2 79. (4 2 , 1 1 ) no b 2 c 6 69. B 74. 70. I 75. a 8 b 3 71. C 76. 54 m 5 n 4 72. H 77. – 4 t 5 78. (1, 8) 8 -4 80. (7, 26) 4 83. 6 84. – 3 2 85. – 9 11