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 - Chapter Review - Page 475: 20



Work Step by Step

$a^{\frac{1}{2}}.a^x=a$ $a^{\frac{1}{2}+x}=a^1$ Multiply the powers with the same base. $\frac{1}{2}+x=1$ $x=1-\frac{1}{2}$ $x=\frac{1}{2}$ Therefore, the completed equation is: $a^{\frac{1}{2}}.a^{\frac{1}{2}}=a$
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