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: 35


1.024 $\times$ $10^{13}$

Work Step by Step

You are given (4 $\times$ $10^{2}$$)^{5}$.Simplify the expression: $4^{5}$ $\times$ ($10^{2}$$)^{5}$ -raise each term to the power 2- 1024 $\times$ $10^{10}$ -simplify the exponent and multiply the power to the power- 1.024 $\times$ $10^{13}$- move the decimal three places to the right and add 3 to the power so it is in scientific notation form- The simplified expression is 1.024 $\times$ $10^{13}$
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