Algebra & Trigonometry

49 R.4 Integer and Rational Exponents Match each expression in Column I with its equivalent expression in Column II. Choices may be used once, more than once, or not at all. See Example 3. 35. I (a) 60 (b) -60 (c) 1-620 (d) -1-620 II A. 0 B. 1 C. -1 D. 6 E. -6 36. I (a) 3p0 (b) -3p0 (c) 13p20 (d) 1-3p20 II A. 0 B. 1 C. -1 D. 3 E. -3 81. I (a) a 4 9b 3/2 (b) a 4 9b -3/2 (c) -a 9 4b 3/2 (d) -a 9 4b -3/2 II A. 27 8 B. - 27 8 C. 8 27 D. - 8 27 82. I (a) a 8 27b 2/3 (b) a 8 27b -2/3 (c) -a 27 8 b 2/3 (d) -a 27 8 b -2/3 II A. 9 4 B. - 9 4 C. - 4 9 D. 4 9 Write each expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers. See Example 4. 37. 1-42-3 38. 1-52-2 39. -5-4 40. -7-2 41. a 1 3b -2 42. a 4 3b -3 43. 14x2-2 44. 15t2-3 45. 4x-2 46. 5t-3 47. -a-3 48. -b-4 Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. See Examples 5 and 6. 49. 48 46 50. 59 57 51. x12 x8 52. y14 y10 53. r7 r10 54. y8 y12 55. 64 6-2 56. 75 7-3 57. 4r-3 6r-6 58. 15s-4 5s-8 59. 16m-5n4 12m2n-3 60. 15a-5b-1 25a-2b4 61. -4r-21r422 62. -2m-11m322 63. 15a-1241a22-3 64. 13p-4 21p32-1 65. 1p-220 5p-4 66. 1m420 9m-3 67. 13pq2q2 6p2q4 68. 1-8xy2y3 4x5y4 69. 4a51a-123 1a-22-2 70. 12k-21k-32-4 6k5 71. 15x2-215x32-3 15-2x-323 72. 18y22-418y52-2 18-3y-422 Evaluate each expression. See Example 7. 73. 1691/2 74. 1211/2 75. 161/4 76. 6251/4 77. a64 27b 1/3 78. a8 27b 1/3 79. 1-421/2 80. 1-6421/4 Match each expression in Column I with its equivalent expression in Column II. See Example 8.

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