Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - Mid-Chapter Review - Mixed Review: 10

Answer

$\dfrac{2}{3m^{6}n^{4}}$

Work Step by Step

Using the laws of exponents, the given expression, $ \dfrac{8m^{-2}n^3}{12m^4n^7} $, is equivalent to \begin{array}{l}\require{cancel} \dfrac{\cancel{4}\cdot2m^{-2-4}n^{3-7}}{\cancel{4}\cdot3} \\\\= \dfrac{2m^{-6}n^{-4}}{3} \\\\= \dfrac{2}{3m^{6}n^{4}} .\end{array}
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