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: 5

Answer

a. 125 b. 9 c. 8

Work Step by Step

a. $25^{\frac{3}{2}}$ = $(5^{2})^{\frac{3}{2}}$ = $5^{2\times\frac{3}{2}}$ = $5^{3}$ = 125 b. $27^{\frac{2}{3}}$ = $(3^{3})^{\frac{2}{3}}$ = $3^{3\times\frac{2}{3}}$ = $3^{2}$ = 9 c. $16^{\frac{3}{4}}$ = $(2^{4})^{\frac{3}{4}}$ = $2^{4\times\frac{3}{4}}$ = $2^{3}$ = 8
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