Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.5 - Integrated Review - Radicals and Rational Exponents: 18


$\sqrt[4] {a^{3}b^{2}}$

Work Step by Step

$\sqrt[12] {a^{9}b^{6}}$ =$\sqrt[12] {a^{9}}\times\sqrt[12] {b^{6}}$ =$(a^{9})^{\frac{1}{12}}\times(b^{6})^{\frac{1}{12}}$ =$a^{\frac{3}{4}}\times b^{\frac{2}{4}}$ =$\sqrt[4] {a^{3}}\times\sqrt[4] {b^{2}}$ =$\sqrt[4] {a^{3}\times b^{2}}$ =$\sqrt[4] {a^{3}b^{2}}$
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