Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-4 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 442: 19

Answer

$\frac{2m^4}{n^4}$

Work Step by Step

You have $\frac{10m^6n^3}{5m^2n^7}$.Solve: $\frac{10m^6n^3}{5m^2n^7}$ -divide what can be divided- $\frac{2m^6n^3}{m^2n^7}$ -apply exponent rule $\frac{x^a}{x^b}$=$x^{a-b}$- $\frac{2m^4n^3}{n^7}$ -apply exponent rule $\frac{x^a}{x^b}$=$x^{a-b}$- =$\frac{2m^4}{n^4}$
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