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 - Concept Byte - Page 432: 5


$...=5^{\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}}=5^{\frac{1}{2}\cdot 4}=5^{2}$

Work Step by Step

$(5^{1/2})^{4}=5^{1/2}\cdot 5^{1/2}\cdot 5^{1/2}\cdot 5^{1/2}=5^{\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}}=5^{\frac{1}{2}\cdot 4}=5^{2}$
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