Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set: 81

Answer

$\sqrt[3] (a^{2}b)$

Work Step by Step

$\sqrt[12] (a^{8}b^{4})=(a^{8}b^{4})^{\frac{1}{12}}=a^{\frac{8}{12}}b^\frac{4}{12}=a^{\frac{2}{3}}b^\frac{1}{3}=(a^{2}b)^{\frac{1}{3}}=\sqrt[3] (a^{2}b)$
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