Section 1.3 Exponents, Square Roots, and the Order of Operations 43 Concept 1: Exponential Expressions For Exercises 7–12, write each product using exponents. 1 6 1 6 1 6 1 6 7. 8. 9. 10 10 10 10 10 10 a a a b b 10. 11. 12. 13. a. For the expression what is the base for the exponent 3? 7 x x y y 5c 5c 5c 5c 5c 3 w z z z z 5x3, b. Does 5 have an exponent? If so, what is it? 2y4, 14. a. For the expression what is the base for the exponent 4? b. Does 2 have an exponent? If so, what is it? For Exercises 15–22, write each expression in expanded form using the definition of an exponent. 15. 16. 17. 18. x3 y4 12b23 18c22 10y5 x2y3 2wz2 3a3b 19. 20. 21. 22. For Exercises 23–30, simplify each expression. (See Example 1.) a 1 7 2 b 62 53 23. 24. 25. 26. a 1 2 5 b 10.223 10.822 26 132 27. 28. 29. 30. Concept 2: Square Roots For Exercises 31–42, simplify the square roots. (See Example 2.) 31. 32. 33. 34. 181 164 14 19 35. 36. 37. 38. 1144 149 116 136 25 1 1 9 39. 40. 41. 42. B 64 B 81 B B 100 Concept 3: Order of Operations For Exercises 43–74, use the order of operations to simplify each expression. (See Examples 3–5.) 43. 44. 45. 46. 49 8 2 6 7 3 4 18 22 6 17 32 4 4 2 2 3 1 5 12 2 6 1 81 4 3 32 100 25 2 52 47. 48. 49. 50. a 11 6 3 8 b 4 5 3 4 2 3 2 3 1 4 2 3 1 6 51. 52. 53. 54. a 9 8 1 3 b 335 218 32 4 234 316 42 4 10 06 0 18 03 0 55. 56. 57. 58. 59. 60. 61. 62. 3 4 21 08 2 0 12 06 1 0 22 19 5 32 116 2 63. 3 52 64. 10 23 65. 19 16 2 66. 136 13 5
miller_beginning_intermediate_algebra_4e_ch1_3
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