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 430: 38



Work Step by Step

$5^7\times5^?=5^{3}$ To multiply powers with the same base, we add the exponents. When we add $7$ and the second exponent, we must get $3$. The only way this is true is if the second exponent is $-4$. Therefore, $5^7\times5^{-4}=5^{3}$
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