Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - Chapter 5 Review Problem Set: 64

Answer

$\dfrac{1}{x^2}$

Work Step by Step

Using the laws of exponents, the given expression, $ \dfrac{x^{-6}}{x^{-4}} ,$ simplifies to \begin{array}{l}\require{cancel} x^{-6-(-4)} \\\\= x^{-6+4} \\\\= x^{-2} \\\\= \dfrac{1}{x^2} .\end{array}
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