In Exercises 105–106, write each number in decimalnotation.105. 7.16 X 106106. 1.07 X 104In Exercises 107–108, write each number in scientific notation.107. -41,000,000,000,000108. 0.00809In Exercises 109–110, perform the indicated computations. Writethe answers in scientific notation.

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.1: Real Numbers

Problem 12E

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Exercises 53–60: Evaluate the expression by hand. Write your result in scientific notation and standard form. 53. (4 x 10')(2 × 10ʻ) 54. (3 × 10')(3 × 10*) 55. (5 x 10*)(7 × 10-4) 56. (8 × 10-³)(7 × 10') 6.3 x 10-2 57. 8.2 x 102 58. 2 x 10-2 3 x 10' 4 x 10- 59. 2.4 x 10-5 60. 4.8 x 10-7 8 x 10-
In Exercises 102–103, perform the indicated operations. Assume that exponents represent whole numbers. 102. (x2n – 3x" + 5) + (4x2" – 3x" – 4) – (2x2 – 5x" – 3) 103. (y3n – 7y2n + 3) – (-3y3n – 2y2" – 1) + (6y3n – yn + 1) 104. From what polynomial must 4x? + 2x – 3 be subtracted to obtain 5x? – 5x + 8?
In Exercises 9–12, the given expressions are designed to yield results expressed in a form of scientific notation. For example, the calculator-displayed result of 1.23E5 can be expressed as 123,000, and the result of 1.23E-4 can be expressed as 0.000123. Perform the indicated operation and express the result as an ordinary number that is not in scientific notation. 911
Simplify the expressions in Exercises 65–68.
In Exercises 83–100, use the order of operations to simplify each expression. 83. 4(-5) – 6(-3) 84. 8(-3) – 5(-6) 85. 3(-2)? – 4(-3)² 86. 5(-3)2 – 2(-2)2 87. 82 – 16 + 2² .4 – 3 88. 10 - 100 + 52.2 - 3 5.2 - 32 10 + 2 + 3.4 90. (12 – 3.2) 89. [3 - (-2) 91. 8 - 3[-2(2 - 5) – 4(8 – 6)] 92. 8 - 3[-2(5 – 7) - 5(4 - 2)1 2(-2) – 4(-3) 93. 5 - 8 6(-4) – 5(-3) 94. 9 - 10 (5 – 6)? – 2|3 – 7| 95. 89 – 3.52 12 + 3.5|22 + 32| 96. 7 + 3 - 62 97. 15 - V3 - (-1) + 12 + 2.3 98. 17 - |5 - (-2)| + 12 + 2.3 99. 20 + 1 - V102 - (5 + 1)(-2) 100. 24 - V3. (5 – 2) + [-1 – (-3)|r
Motorcycle license plates in the state of California start with two digits(0–9), followed by one uppercase letter (A–Z), followed by four digits (0–9). Determine the number of motorcycle license plates possible if the first two digits must be odd, the last four digits cannot be 0, and repetition is not permitted.
Use the laws of exponents to simplify the expressions in Exercises 11–16
In Exercises 65–76, write each number in decimal notation without the use of exponents. 65. 3.8 x 102 67. 6 x 10-4 69. -7.16 x 10° 66. 9.2 x 10 68. 7 x 10-5 70. -8.17 x 10 71. 7.9 x 10 73. -4.15 x 10 75. -6.00001 x 1010 72. 6.8 x 10 74. -3.14 x 10 76. -7.00001 x 1010
Exercises 49-54: Evaluate the expression with a calculator. 49. (23 - 5.6) + (-41.5 + 936) 50. (-8.05 – 4.67i) + (3.5 + 5.37i) 51. (17.1 – 61) – (8.4 + 0.71) 52. (- ) – (-† + ) 53. (-12.6 – 5.7)(5.1 – 9.34) 54. (7.8 + 23í)(-1,04 + 2.09i)
Find the standard form of number 2
Do step by step proof
43,49 please explain the answers

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