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 - Page 489: 11

Answer

$3$

Work Step by Step

When a number is raised to the fourth power, the fourth root cancels out the exponent. We use this rule to simplify: $$\sqrt[4] {81}=\sqrt[4] {3\times3\times3\times3}=\sqrt[4] {3^4}=3$$
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