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: 41

Answer

$(\sqrt[4] 8)^{3}$

Work Step by Step

We know that $a^{\frac{m}{n}}=\sqrt[n] a^{m}=\sqrt[n] (a)^{m}$, where all indicated roots are real numbers. Therefore, $8^{\frac{3}{4}}=\sqrt[4] (8^{3})=(\sqrt[4] 8)^{3}$.
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