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8. Rewrite each as a single power, then evaluate. Express your answers as fractions. a) 8' x 8-1 b) d) (-3)'(-3)- (24)3

8. Rewrite each as a single power, then evaluate. Express your answers as fractions. a) 8' x 8-1 b) d) (-3)'(-3)- (24)3

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter1: The Six Trigonometric Functions
Section: Chapter Questions
Problem 1GP: The diagram shown in Figure 1 was used by the Hindu mathematician Bhaskara to prove the theorem in...
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For help with question 8, refer to Example 2. 8. Rewrite each as a single power, then evaluate. Express your answers as fractions. a) 83 x 8-1 b) 4-1 (24)3 d) (-3)°(-3)- e) (10-2)3 f) g) 62 - 65 i) (4)-2 h) 5-7 x 54 j) -9 I) (5-2)3 For help with question 9, refer to Example 3. 9. A second question on Mr. Roberts' math test is shown. Radium-226 is a radioactive element that decays by 2-' of its mass after about 1600 years. Determine the remaining mass of 16 g of radium-226 after a) 1600 years b) 8000 years ect 10. How small is one billionth? a) Write one thousand as a power of 10. b) Write one thousandth as a fraction, as a power of , and then as 10' a power of 10. c) Write one millionth as a power of 10. d) Write one billionth as a power of 10. e) Write the ratio of one thousandth to one billionth as a power of 10. How many times larger is one thousandth compared to one billionth? 11. Evaluate the power in each statement. Express your answers as whole numbers or fractions. a) One kilobyte is 210 bytes. b) One byte is 2-10 kilobytes. ) One megabyte is (210)² bytes. d) One byte is (2-10)3 gigabytes. e) One bit is 2-3 bytes. f) One bit is 2-40 × 2-3 terabytes.
Transcribed Image Text:For help with question 8, refer to Example 2. 8. Rewrite each as a single power, then evaluate. Express your answers as fractions. a) 83 x 8-1 b) 4-1 (24)3 d) (-3)°(-3)- e) (10-2)3 f) g) 62 - 65 i) (4)-2 h) 5-7 x 54 j) -9 I) (5-2)3 For help with question 9, refer to Example 3. 9. A second question on Mr. Roberts' math test is shown. Radium-226 is a radioactive element that decays by 2-' of its mass after about 1600 years. Determine the remaining mass of 16 g of radium-226 after a) 1600 years b) 8000 years ect 10. How small is one billionth? a) Write one thousand as a power of 10. b) Write one thousandth as a fraction, as a power of , and then as 10' a power of 10. c) Write one millionth as a power of 10. d) Write one billionth as a power of 10. e) Write the ratio of one thousandth to one billionth as a power of 10. How many times larger is one thousandth compared to one billionth? 11. Evaluate the power in each statement. Express your answers as whole numbers or fractions. a) One kilobyte is 210 bytes. b) One byte is 2-10 kilobytes. ) One megabyte is (210)² bytes. d) One byte is (2-10)3 gigabytes. e) One bit is 2-3 bytes. f) One bit is 2-40 × 2-3 terabytes.
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