Answer
$-2$
Work Step by Step
The given values are
$n=9$ and $a=-512$
The index $n=9$ is odd, so $-512$ has one real $9^{th}$ root.
$=\sqrt[9]{-512}$
Use $-512=(-2)^9$.
$=\sqrt[9]{(-2)^9}$
Simplify.
$=-2$.
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
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 - Exercises - Page 303: 10
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