Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Section 7.2 - Rational Exponents - 7.2 Exercises: 16

Answer

5

Work Step by Step

As shown on page 445, we know that $a^{\frac{m}{n}}=\sqrt[n] a^{m}=(\sqrt[n] a)^{m}$. Therefore, $625^{\frac{1}{4}}=\sqrt[4] 625^{1}=\sqrt[4] 625=5$. We know that $\sqrt[4] 625=5$, because $5^{4}=625$.
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