Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.3 - Fractional Exponents - Problem Set 11.3: 13

Answer

$-3$

Work Step by Step

When a number is raised to the fifth power, the fifth root cancels out the exponent. We use this rule to simplify: $$\sqrt[5] {-243}=\sqrt[5] {-3\times-3\times-3\times-3\times-3}=\sqrt[5] {-3^5}=-3$$
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