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: 9

Answer

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

Work Step by Step

$(a^{\frac{1}{4}})^{4}=a^{\frac{1}{4}}\cdot a^{\frac{1}{4}}\cdot a^{\frac{1}{4}}\cdot a^{\frac{1}{4}}=a^{\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}}=a^{\frac{1}{4}\cdot 4}=a^{1}$
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