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: 28

Answer

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

Work Step by Step

$\frac{\sqrt [4] {48a^{9}b^{3}}}{\sqrt [4] {ab^{3}}}$ =$\sqrt [4] \frac{48a^{9}b^{3}}{ ab^{3}}$ =$\sqrt [4] {48}\times \sqrt [4]\frac{a^{9}}{a}\times\sqrt [4]\frac{b^{3}}{b^{3}}$ =$\sqrt [4] {16\times3}\times \sqrt [4] {a^{9-1}}\times\sqrt [4]1$ =$\sqrt [4] {16}\times \sqrt [4] {3}\times \sqrt [4] {a^{8}}\times 1$ =$\sqrt [4] {2^{4}}\times \sqrt [4] {3}\times \sqrt [4] {a^{8}}\times 1$ =$2\times \sqrt [4] {3}\times a^{2}\times 1$ =$2a^{2}\sqrt [4] {3}$
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