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: $$\sqrt[5] {-243}=\sqrt[5] {-3\times-3\times-3\times-3\times-3}=\sqrt[5] {-3^5}=-3$$
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
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 - Page 489: 13
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
