Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 6 - Exponential Functions and Sequences - 6.2 - Radicals and Rational Exponents - Monitoring Progress - Page 300: 2

Answer

$\pm2$

Work Step by Step

The given values are $n=6$ and $a=64$ $n$ is even and $a>0$, then $a$ has two real $n^{th}$ roots. $=\pm\sqrt[n]{a}$ Substitute the values of $n$ and $a$. $=\pm\sqrt[6]{64}$ Use $64=(2)^6$ $=\pm\sqrt[6]{2^6}$ Simplify. $=\pm2$.
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