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: 85


$\sqrt[15] (y^{11})$

Work Step by Step

$\sqrt[3] y\times\sqrt[5] (y^{2})=y^{\frac{1}{3}}\times y^{\frac{2}{5}}$ We can further simplify by using the product rule, which holds that $a^{m}\times a^{n}=a^{m+n}$. $y^{\frac{1}{3}}\times y^{\frac{2}{5}}=y^{(\frac{1}{3}+\frac{2}{5})}=y^{(\frac{5}{15}+\frac{6}{15})}=y^{\frac{11}{15}}=\sqrt[15] (y^{11})$
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.