Page 6 of 8 ZOOM + 15. 10" . 1 14. (-3) . [-3) . [-3) 15. 7" . 2T 16. 23 . 32 17. 33 . 95 18. 37 . 274 Write each expression in radical form. See Problem 19. x 20. 5 21. rf 22. Us 23. vi 24. 25. x1.5 26. v1.2 Write each expression in exponential form. 27. V-10 28. V7x3 29. V (7x)3 30. (V7x)3 31. 3 2 32. (va)2 33. Vc2 34. (5xy)6 Optimal Height The optimal height h of the letters of a message printed on See Proble pavement is given by the formula h = 0.00252d2.27 e -. Here d is the distance of the driver from the letters and e is the height of the driver's eye above the pavement. All of the distances are in meters. Find h for the given values of d and e. 35. d = 100 m, e = 1.2m 36. d = 50 m, e = 1.2m 37. d = 50 m, e = 2.3 m 38. d = 25 m, e = 2.3 m Find each product or quotient. See Problem - .. . . - . 39. (v6)( 36) 40. 319 41. V5 . 65 42. V7 . 37 43. 64 44. V18 . V12 V6 36 46. Vry Simplify each number. See Problem 47. 83 48. 64 643 49. (-8) 50. (-32) 51. (32) 52. 41.5 53. 161.5 54. 10,0000-75 Write each expression in simplest form. See Problem 55. - 3 56. (x 7 )7 57. (3x) -1 58. 5(x) 1 59. (-27x-9)5 60. (-32)15)5 61. ( x7 3)-6 62. ( x y )Page 7 of 8 value of the expression for m = 46 x 10*? ZOOM + A 636 B 1460 - C> 1660 D 16,600 Simplify each number. 69. (-343) 70. (-243) 71. 321.2 72. 2431.2 73. 643.5 74. 1004.5 75. -(-27) 76. 1000 77. 252 1002 78. Science A desktop world globe has a volume of about 1386 cubic inches. The radius of Earth is approximately equal to the radius of the globe raised to the 10th power. Find the radius of Earth. (Hint: Use the formula V = gar for the volume of a sphere.) Simplify each expression. 79. x7 . x 80. y- 81. 83. 84 81 1 16)3 8x 85. (81)18 86 16 x 12 87. 2719 88. Open-Ended Find three nonzero numbers a such that a( 4 + 5 ) is a rational number. Can a itself be a rational number? Explain. 89. a. Reasoning Show that Vx2 = Vx by using the definition of fourth root. b. Reasoning Show that Vi? = Vx by rewriting Vin exponential form. 90. Simplify 4 - 4 using the following methods. Show all your work. a. Use the properties of exponents. b. Simplify each term in the product, then multiply. c. Convert to radical form, then simplify