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Chapter 7 / Exercise 135
Intermediate Algebra
Tussy/Gustafson
Expert Verified
31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 10 x 4 y 9 30 x 12 y - 3 24 x 3 y 5 32 x 7 y - 9 1 10 x 2 2 - 3 1 4 x 3 2 - 2 20 b 10 10 b 20 14 b 7 7 b 14 35 a 14 b 6 - 7 a 7 b 3 25 a 13 b 4 - 5 a 2 b 3 20 x 24 10 x 6 8 x 20 2 x 4 1 - 5 x 4 y 21 - 6 x 7 y 11 2 1 - 9 x 3 y 21 - 2 x 6 y 4 2 1 11 x 5 21 9 x 12 2 1 3 x 4 21 2 x 7 2 1 - 3 x 4 y 6 2 3 1 - 3 x 2 y 5 2 2 a - 6 y b 3 a - 4 x b 3 1 6 x 4 2 2 1 8 x 3 2 2 x 30 x - 10 x 14 x - 7 x 30 x 10 x 14 x 7 1 x - 6 2 4 1 x - 5 2 3 1 x 11 2 5 1 x 3 2 7 x - 6 # x 12 x - 5 # x 10 x 11 # x 5 x 3 # x 7 x 7 y 0 x 0 y 5 xy - 3 x - 2 y 3 4 3 7 2 3 2 7 2 - 3 # 2 3 - 3 # 3 3 8 3 4 2 8 2 4 1 3 3 2 2 1 2 2 2 3 3 3 # 3 2 2 2 # 2 3 2 - 6 4 - 3 - 9 0 - 3 0 1 - 9 2 0 1 - 3 2 0 - 2 4 - 2 6 1 - 2 2 4 1 - 2 2 6 6 2 # 2 5 2 # 2 59. 60. 61. 62. 63. 64. In Exercises 65–76, write each number in decimal notation without the use of exponents. 65. 66. 67. 68. 69. 70. 71. 72. 73. 74. 75. 76. In Exercises 77–86, write each number in scientific notation. 77. 32,000 78. 64,000 79. 638,000,000,000,000,000 80. 579,000,000,000,000,000 81. 82. 83. 0.0027 84. 0.0083 85. 86. In Exercises 87–106, perform the indicated computations.Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 87. 88. 89. 90. 91. 92. 93. 94. 95. 96. 97. 98. 99. 100. 101. 102. 103. 104. 105. 106. 66,000 * 0.001 0.003 * 0.002 0.00072 * 0.003 0.00024 282,000,000,000 0.00141 480,000,000,000 0.00012 1.5 * 10 - 2 3 * 10 - 6 2.4 * 10 - 2 4.8 * 10 - 6 7.5 * 10 - 2 2.5 * 10 6 4.8 * 10 - 2 2.4 * 10 6 1.2 * 10 4 2 * 10 - 2 3.6 * 10 4 9 * 10 - 2 6.9 * 10 8 3 * 10 5 8.4 * 10 8 4 * 10 5 1 8.2 * 10 8 21 4.6 * 10 4 2 1 4.3 * 10 8 21 6.2 * 10 4 2 1 5.1 * 10 - 8 21 3 * 10 - 4 2 1 6.1 * 10 - 8 21 2 * 10 - 4 2 1 1.4 * 10 15 21 3 * 10 - 11 2 1 1.6 * 10 15 21 4 * 10 - 11 2 1 2 * 10 4 21 4.1 * 10 3 2 1 3 * 10 4 21 2.1 * 10 3 2 - 0.00000000405 - 0.00000000504 - 3829 - 5716 - 7.00001 * 10 10 - 6.00001 * 10 10 - 3.14 * 10 - 3 - 4.15 * 10 - 3 6.8 * 10 - 1 7.9 * 10 - 1 - 8.17 * 10 6 - 7.16 * 10 6 7 * 10 - 5 6 * 10 - 4 9.2 * 10 2 3.8 * 10 2 ¢ 4 a - 5 b 3 12 a 3 b - 5 0 ¢ 3 a - 5 b 2 12 a 3 b - 4 0 ¢ - 30 a 14 b 8 10 a 17 b - 2 3 ¢ - 15 a 4 b 2 5 a 10 b - 3 3 ¢ 3 x 4 y - 3 ¢ 5 x 3 y - 2
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Chapter 7 / Exercise 135
Intermediate Algebra
Tussy/Gustafson
Expert Verified
Section P.2 Exponents and Scientific Notation 29 United States Film Admissions and Admission Charges 600 200 Tickets Sold Price per Ticket 1200 1400 1600 400 800 \$4 \$8 \$1 \$2 \$3 \$5 \$6 1000 Annual Admissions (billions of tickets sold) \$7 Average Price per Ticket Year 1990 1995 2000 2005 2006 4.20 4.40 5.40 6.40 6.60 1190 1260 1420 1450 1400 Source: National Association of Theater Owners Federal Taxes and the United States Population \$1.50 \$3.00 \$0.50 Federal Taxes Collected Population \$1.00 \$2.00 Federal Taxes Collected (trillions of dollars) 200 350 100 150 250 \$2.50 300 Population (millions) Year 2006 2.52 300 2003 1.95 292 2004 2.02 295 2005 2.27 298 Sources: Internal Revenue Service and U.S. Census Bureau Practice Plus In Exercises 107–114, simplify each exponential expression. Assume that variables represent nonzero real numbers. 107. 108. 109. 110. 111. 112. 113. 114. Application Exercises The bar graph shows the total amount Americans paid in federal taxes, in trillions of dollars, and the U.S. population, in millions, from 2003 through 2006. Exercises 115–116 are based on the numbers displayed by the graph. 1 2 - 1 x - 3 y - 1 2 - 2 1 2 x - 6 y 4 2 - 2 1 9 x 3 y - 3 2 0 1 2 x - 4 y - 6 2 2 1 2 - 1 x - 2 y - 1 2 - 2 1 2 x - 4 y 3 2 - 2 1 16 x - 3 y 3 2 0 1 2 x - 3 y - 5 2 2 ¢ x 4 y 5 z 6 x - 4 y - 5 z - 6 - 4 ¢ x 3 y 4 z 5 x - 3 y - 4 z - 5 - 2 1 3 x - 4 yz - 7 21 3 x 2 - 3 1 2 x - 3 yz - 6 21 2 x 2 - 5 1 xy - 2 2 - 2 1 x - 2 y 2 - 3 1 x - 2 y 2 - 3 1 x 2 y - 1 2 3 117. Use scientific notation to compute the amount of money that the motion picture industry made from box-office receipts in 2006. Express the answer in scientific notation.