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: 23

Answer

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

Work Step by Step

Step 1: $\sqrt[3] {54x^{4}}$ Step 2: $\sqrt[3] {54}\times \sqrt[3] {x^{4}}$ Step 3: $\sqrt[3] {27\times 2}\times \sqrt[3] {x^{3}\times x}$ Step 4: $\sqrt[3] {3^{3}}\times \sqrt[3] {2}\times \sqrt[3] {x^{3}}\times \sqrt[3] {x}$ Step 5: $3\times \sqrt[3] {2}\times x\times \sqrt[3] {x}$ Step 6: $3\times x\times\sqrt[3] {2}\times \sqrt[3] {x}$ Step 7: $3x \times \sqrt[3] {2\times x}$ Step 8: $3x\sqrt[3] {2x}$
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