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: 22

Answer

$2xy^{2}\sqrt[4] {x^{3}y^{2}}$

Work Step by Step

Step 1: $\sqrt[4] {16x^{7}y^{10}}$ Step 2: $\sqrt[4] {16}\times \sqrt[4] {x^{7}}\times \sqrt[4] {y^{10}}$ Step 3: $\sqrt[4] {2^{4}}\times \sqrt[4] {x^{4}\times x^{3}}\times \sqrt[4] {y^{8}\times y^{2}}$ Step 4: $\sqrt[4] {2^{4}}\times \sqrt[4] {x^{4}}\times \sqrt[4] {x^{3}}\times \sqrt[4] {y^{8}}\times \sqrt[4] {y^{2}}$ Step 5: $2\times x \times \sqrt[4] {x^{3}}\times y^{2}\times \sqrt[4] {y^{2}}$ Step 6: $2\times x \times y^{2} \times \sqrt[4] {x^{3}}\times \sqrt[4] {y^{2}}$ Step 7: $2xy^{2} \times \sqrt[4] {x^{3}\times y^{2}}$ Step 8: $2xy^{2}\sqrt[4] {x^{3}y^{2}}$
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