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: 11

Answer

$$|2x^3|$$

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 (2) above to obtain: \begin{align*} \sqrt[4]{16x^{12}}&=\sqrt[4]{(2x^3)(2x^3)(2x^3)(2x^3)}\\ &=\sqrt[4]{(2x^3)^4}\\ &=|2x^3| \end{align*}
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