Intermediate Algebra for College Students (7th Edition)

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

Chapter 1 - Section 1.6 - Properties of Integral Exponents - Exercise Set: 51

Answer

$\dfrac{a^{-4}b^7}{c^{-3}} =\dfrac{b^7c^3}{a^4}$

Work Step by Step

RECALL: The negative-exponent rule of exponents states that: $a^{-m} =\dfrac{1}{a^m}$ and $\dfrac{1}{a^{-m}} = a^m$, where $a \ne 0$. Use the negative-exponent rule to find: $\dfrac{a^{-4}b^7}{c^{-3}} =\dfrac{\frac{b^7}{a^4}}{\frac{1}{c^3}}=\dfrac{b^7}{a^4} \cdot \dfrac{c^3}{1}=\dfrac{b^7c^3}{a^4}$
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