Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.1 - Exponents - Exercise Set - Page 344: 47

Answer

$\frac{m^{9}p^{9}}{n^{9}}, n\ne0$

Work Step by Step

Based on the power of a quotient rule, we know that $(\frac{a}{c})^{n}=\frac{a^{n}}{c^{n}}$ (where $n$ is a positive integer and $a$ and $c$ are real numbers). Therefore, $(\frac{mp}{n})^{9}=\frac{m^{9}p^{9}}{n^{9}}, n\ne0$.
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