Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set: 73

Answer

$\dfrac{x^{\frac{1}{4}}}{y^{\frac{3}{10}}}$

Work Step by Step

RECALL: (1) $(a^m)^n=a^{mn}$ (2) $(ab)^m = a^mb^m$ (3) $a^{\frac{1}{n}}= \sqrt[n]{a}$ (4) $a^{-m} = \dfrac{1}{a^m}$ Use rule (2) above to obtain: $=(x^{\frac{1}{2}})^{\frac{1}{2}}(y^{-\frac{3}{5}})^{\frac{1}{2}}$ Use rule (1) above to obtain: $=x^{\frac{1}{2}\cdot \frac{1}{2}}y^{-\frac{3}{5}(\frac{1}{2})} \\=x^{\frac{1}{4}}y^{-\frac{3}{10}}$ Use rule (4) above to obtain: $=x^{\frac{1}{4}} \cdot \dfrac{1}{y^{\frac{3}{10}}} \\=\dfrac{x^{\frac{1}{4}}}{y^{\frac{3}{10}}}$
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.