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 - Chapter Review - Page 423: 14



Work Step by Step

RECALL: (1) If $n$ is odd, then $\sqrt[n]{a^n}=a$. (2) If $n$ is even, then $\sqrt[n]{a^n} = |a|$ Use rule (1) above to obtain: \begin{align*} \sqrt[3]{125x^6y^9}&=\sqrt[3]{(5x^2y^3)(5x^2y^3)(5x^2y^3)}\\ &=\sqrt[3]{\left(5x^2y^3\right)^3}\\ &=5x^2y^3 \end{align*}
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