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: 23

Answer

The answer is 5.

Work Step by Step

To solve this we know that $\sqrt625$ is 25 and $\sqrt25$ is 5 so 625 = $5^{4}$ $625^{\frac{1}{4}}$ = $({5^{4}})^{\frac{1}{4}}$ = $5^{4\times\frac{1}{4}}$ = $5^{1}$ = 5
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