Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-3 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 42


6.4985 $\times$ $10^{-8}$

Work Step by Step

Use the volume formula (V=$\pi$($r^{2}$h) and plug in the given values from the equation. The equation would be V=$\pi$($7.8 {\times}10^{-4}$$)^{2}$(3.4 $\times$ $10^{-2}$): $\pi$($7.8^{2}$$\times$($10^{-4}$$)^{2}$)(3.4 $\times$ $10^{-2}$) -raise the terms in the parentheses to the power- $\pi$(60.84$\times$($10^{-8}$)(3.4 $\times$ $10^{-2}$ -combine like bases and add the exponents- 3.14(206.856 $\times$ $10^{-10}$) -multiply- 649.85 $\times$ $10^{-10}$ -move the decimal two places to the left and add 2 to the power of -10 in order for it to be in scientific notation- =6.4985 $\times$ $10^{-8}$
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