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 - Got It? - Page 428: 4

Answer

a. 2 b. 3 c. 8

Work Step by Step

a. $16^{\frac{1}{4}}$ = $(2^{4})^{\frac{1}{4}}$ = $2^{4\times\frac{1}{4}}$ = $2^{1}$ = 2 b. $27^{\frac{1}{3}}$ = $(3^{3})^{\frac{1}{3}}$ = $3^{3\times\frac{1}{3}}$ = $3^{1}$ = 3 c. $64^{\frac{1}{2}}$ = $(8^{2})^{\frac{1}{2}}$ = $8^{2\times\frac{1}{2}}$ = $8^{1}$ = 8
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