Chapter 7.4, Problem 91PPE

To determine

To simplify: the expression $\frac{\left(\frac{m^4}{m^5}\right)}{m^2}$

Answer to Problem 91PPE

The required answer is: $\frac{1}{m^3}$

Explanation of Solution

Given information:

The given expression: $\frac{\left(\frac{m^4}{m^5}\right)}{m^2}$

Calculation:

  $\frac{\left(\frac{m^4}{m^5}\right)}{m^2}=\frac{m^{4-5}}{m^2}$

(Subtract exponents when dividing powers with the same base)

  $\begin{array}{l}=\frac{m^{-1}}{m^2}\\ =m^{-1-2}\end{array}$

(Subtract exponents when dividing powers with the same base)

  $\begin{array}{l}=m^{-3}\\ =\frac{1}{m^3}\end{array}$

(Rewrite using positive exponents)