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

Published by Pearson

# Chapter 4 - Polynomials - Mid-Chapter Review - Mixed Review - Page 263: 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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