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 - Page 79: 42

Answer

$x^3y^{-4} =\dfrac{x^3}{y^4}$

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: $x^3y^{-4} = x^3 \cdot \dfrac{1}{y^4}=\dfrac{x^3}{y^4}$
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