# Chapter 7 - Exponents and Exponential Functions - 7-5 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 446: 92

$\frac{1}{m^{3}}$

#### Work Step by Step

Given : $\frac{(\frac{m^{4}}{m^{5}})}{m^{2}}=$ $\frac{m^{4-5}}{m^{2}}=$$\frac{m^{-1}}{m^{2}}=$ $m^{-1-2}=$ $m^{-3}=$ $\frac{1}{m^{3}}$ (Since $\frac{a^{m}}{a^{n}}=$ $a^{m-n}$)

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