Section 1.2 Exponents, Square Roots, and the Order of Operations 67 x3 x x x y4 y y y y 12b23 2b 2b 2b 18c22 8c 8c 10y5 10 y y y y y x2y3 x x y y y 2wz2 2 w z z 3a3b 3 a a a b 10.223 0.008 10.822 0.64 26 64 132 169 181 9 164 8 14 2 19 3 1144 12 149 7 116 4 136 6 1 3 1 8 5 9 7 10 25 A 81 1 9 8 2 6 20 7 3 4 19 18 22 6 60 17 32 4 40 4 2 2 3 1 8 5 12 2 6 1 40 81 4 3 32 78 100 25 2 52 25 7 6 a11 7 3 6 6 4 19 32 For Exercises 17–24, write each expression in expanded form using the definition of an exponent. 17. 18. 19. 20. 21. 22. 23. 24. For Exercises 25–32, simplify the expressions. (See Example 1.) 25. 26. 27. 28. 29. 30. 31. 32. Concept 2: Square Roots For Exercises 33–44, simplify the square roots. (See Example 2.) 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. Concept 3: Order of Operations For Exercises 45–76, use the order of operations to simplify the expressions. (See Examples 3–5.) 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 335 218 324 45 234 316 424 20 10 06 0 16 18 03 0 21 57. 58. 59. 60. 61. 62. 63. 64. 65. 66. 67. 68. 21 08 2 0 15 12 06 1 0 7 22 19 5 19 32 116 2 17 3 52 75 10 23 80 19 16 2 3 136 13 5 2 342 16 42 84 37 18 324 39 118 14 2 53192 12 24 156 225 69. 70. 48 13 3 3150 7 52 24 26 80 16 2 162 02 02 44 71. 72. 73. 74. 75. 76. 9 37 5 517 32 816 42 2 437 312 9 824 7 15 513 2 42 2 10 214 5 162 16 8 4 4 8 4 2 5 12 7 318 22 17 3218 22 a9 8 1 3b 3 8b 4 5 3 4 2 3 2 3 0 1 4 2 3 1 6 A 49 A 100 1 A 64 1 32 a1 2b5 1 49 a1 7b2 62 36 53 125 77. A person’s debt-to-income ratio is the sum of all monthly installment payments (credit cards, loans, etc.) divided by monthly take-home pay. This number is often considered when one is applying for a loan. Each month, Monica makes credit card payments of $52 and $20, a student loan payment of $65, and a payment for furniture of $43. Her monthly take-home pay is $1500. a. Determine Monica’s debt-to-income ratio. 0.12 b. To obtain a car loan, Monica’s debt-to-income ratio must be less than 0.20. Does she meet this criteria? Yes. 0.12 0.20. Writing Translating Expression Geometry Scientific Calculator Video
miller_introductory_algebra_3e_ch1_3
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