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: 1

Answer

$-5$

Work Step by Step

The given values are $n=3$ and $a=-125$ $n$ is odd, then $a$ has one real $n^{th}$ root. $=\sqrt[n]{a}$ Substitute the values of $n$ and $a$. $=\sqrt[3]{-125}$ Use $-125=(-5)^3$ $=\sqrt[3]{(-5)^3}$ Simplify. $=-5$.
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