Intermediate Algebra (6th Edition)

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

Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set: 24

Answer

$2(\sqrt[5] (x)^{3})$

Work Step by Step

We know that $a^{\frac{m}{n}}=\sqrt[n] (a^{m})$ (where m and n are positive integers greater than 1 with $\frac{m}{n}$ in simplest form and $\sqrt[n] a$ is a real number). Therefore, $2x^{\frac{3}{5}}=2(\sqrt[5] (x)^{3})$. Because the 2 and the x are not in parentheses, we only apply the exponent to the x. In this case, we are multiplying $\sqrt[5] (x)^{3}$ by 2.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.