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 - Mid-Chapter Quiz - Page 446: 2


$ \boxed{\frac{mq^2}{n^{4}}}$

Work Step by Step

If a power on the numerator has a negative exponent, it can move to the denominator with a positive exponent, and if a power on the denominator has a negative exponent, it can move to the numerator with a positive exponent. So, $$ \frac{mn^{-4}}{p^0q^{-2}} = \frac{mq^2}{p^0n^{4}}$$ Anything to the power $0$ is always $1$. Therefore, $p^0$ must be $1$. Therefore, $$\frac{mq^2}{p^0n^{4}} = \boxed{\frac{mq^2}{n^{4}}}$$
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