Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - Mid-Chapter Quiz - Page 389: 19

Answer

$\sqrt[7]{m^3}$ or $\left(\sqrt[7]{m}\right)^3$

Work Step by Step

Recall the rational exponent property (pg. 382): $a^{\frac{m}{n}}=\sqrt[n]{a^m}=(\sqrt[n]{a})^m$ Applying this property to the given expression (with $m=3$, $n=7$, $a=m$), we get: $\sqrt[7]{m^3}=(\sqrt[7]{m})^3$
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