Answer
$x^{9}\sqrt[5] (x^{4})$
Work Step by Step
$\sqrt[5] (x^{49})=\sqrt[5] (x^{45}\times x^{4})=\sqrt[5] (x^{45})\times \sqrt[5] (x^{4})=x^{9}\sqrt[5] (x^{4})$
We know that $\sqrt[5] (x^{45})=x^{9}$, because $(x^{9})^{5}=x^{9\times5}=x^{45}$.
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 7 - Section 7.3 - Simplifying Radical Expressions - Exercise Set - Page 434: 122
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