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 - 7-3 More Multiplication Properties of Exponents - Got It?: 1

Answer

a. $p^{20}$ b. $p^{20}$ c. $p^{\frac{1}{8}}$ d. $p^{\frac{1}{8}}$ e. $(a^{m)^{n}}$ is the same as $(a^{n)^{m}}$ because when you multiply the exponents it becomes $a^{mn}.$

Work Step by Step

a. $(p^{5)^{4}}$ = $(p^{5\times4})$ = $p^{20}$ b. $(p^{4)^{5}}$ = $(p^{4\times5})$ = $p^{20}$ c. $(p^{\frac{1}{2})^{\frac{1}{4}}}$ = $(p^{\frac{1}{2}\times\frac{1}{4}})$ = $p^{\frac{1}{8}}$ d. $(p^{\frac{1}{4})^{\frac{1}{2}}}$ = $(p^{\frac{1}{4}\times\frac{1}{2}})$ = $p^{\frac{1}{8}}$ e. $(a^{m)^{n}}$ is the same as $(a^{n)^{m}}$ because when you multiply the exponents it becomes $a^{mn}.$
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