Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-4 Division Properties of Exponents - Lesson Check - Page 442: 3

Answer

$\frac{n^{3}}{m^{3}}$

Work Step by Step

When a fraction is raised to a power, we distribute the power to everything in the numerator and denominator of the fraction. Thus, we obtain: $ (\frac{m}{n})^{-3}=\frac{m^{-3}}{n^{-3}}=\frac{n^{3}}{m^{3}}$
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