Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-3 Multipying Powers with the Same Base - Practice and Problem-Solving Exercises - Page 429: 12



Work Step by Step

We start with the given expression: $(5)^{-2}\times(5)^{-4}\times(5)^{8}$ To multiply powers with the same base, we add the exponents. Therefore, $(5)^{-2}\times(5)^{-4}\times(5)^{8}=5^{-2+(-4)+8}=5^{2}$
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