Intermediate Algebra (6th Edition)

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

Chapter 8 - Cumulative Review - Page 534: 39b

Answer

$3x^{2}y^{2}\sqrt[3] {2y^{2}}$

Work Step by Step

$\sqrt[3] {54x^{6}y^{8}}$ =$\sqrt[3] {2\times27\times x^{6}\times y^{6}\times y^{2}}$ =$\sqrt[3] {2\times3^{3}\times x^{6}\times y^{6}\times y^{2}}$ =$\sqrt[3] {3^{3}\times x^{6}\times y^{6}\times 2\times y^{2}}$ =$\sqrt[3] {3^{3}\times x^{6}\times y^{6}}\times \sqrt[3] {2\times y^{2}}$ =$3x^{2}y^{2}\times \sqrt[3] {2\times y^{2}}$ =$3x^{2}y^{2}\sqrt[3] {2y^{2}}$
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