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 - Page 430: 33


The answer is $2^{\frac{1}{2}}$

Work Step by Step

To solve this $2^{x}$ $\times$ $2^{\frac{1}{2}}$ = $2^{1}$ $2^{x}$ = $\frac{2^{1}}{2^{\frac{1}{2}}}$ $2^{x}$ = $2^{1-(\frac{1}{2})}$ $2^{x}$ = $2^{\frac{1}{2}}$ --> same base, bring the exponents down x= $\frac{1}{2}$ Therefore, the missing part is $2^{\frac{1}{2}}$.
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