Chapter 5.2, Problem 57E

To determine

To solve : the expression $\frac{65m^4}{80m^2}$

Answer to Problem 57E

The solution of expression $\frac{65m^4}{80m^2}$ is $\frac{13m^2}{16}$ .

Explanation of Solution

Given information :

Consider, the expression,

  $\frac{65m^4}{80m^2}$

The value of expression is:

  $\begin{array}{l}\frac{65m^4}{80m^2}\\ \frac{13\cdot 5\cdot m\cdot m\cdot m\cdot m}{2\cdot 8\cdot 5\cdot m\cdot m}\left[\text{factor numerator and denominator}\right]\\ \frac{13m^2}{16}\left[\text{divide out common factor}\right]\end{array}$

Hence, the solution of expression $\frac{65m^4}{80m^2}$ is $\frac{13m^2}{16}$ .