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 - 7-2 Multiplying Powers With the Same Base - Practice and Problem-Solving Exercises: 31

Answer

$5^{9}$

Work Step by Step

To solve this $5^{2}$ $\times$ $5^{x}$ = $5^{11}$ $5^{x}$ = $\frac{5^{11}}{5^{2}}$ $5^{x}$ = $5^{11-2}$ $5^{x}$ = $5^{9}$ --> same base, bring the exponents down x=9 Therefore the missing part is $5^{9}$.
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