Chapter 9, Problem 12CLR

To determine

To Perform: The indicated operation and express in simplest form.

Answer to Problem 12CLR

  $\frac{1}{m^3}$

Explanation of Solution

Given: ${\left(\frac{m^{-4}}{m^{-5}}\right)}^{-3}$

Given: ${\left(\frac{m^{-4}}{m^{-5}}\right)}^{-3}$

Solving

  $\begin{array}{l}={\left(\frac{m^{-4}}{m^{-5}}\right)}^{-3}\\ $ ={(m^{-4+5})}^{-3}$$ ={(m)}^{-3}$=\frac{1}{m^3}\end{array}$

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