Chapter 6.2, Problem 37E

To determine

To calculate : the value of $\frac{8m^3·9m^4}{3m^5}$

Answer to Problem 37E

The value of $\frac{8m^3·9m^4}{3m^5}$ is $24m^2$

Explanation of Solution

Given information : the question is

  $\frac{8m^3·9m^4}{3m^5}$

Calculation :

Simplify the coefficients in the numerator and denominator; divide out the common factor,

Therefore,

  $\frac{8m^3·9m^4}{3m^5}=\frac{8m^3\times 3m^4}{m^5}$

Multiply the coefficients in the numerator and apply the power property to multiply the powers

  $\frac{8m^3·9m^4}{3m^5}=\frac{24m^{3+4}}{m^5}$

Apply quotient of power property to divide the powers

  $\begin{array}{l}\frac{8m^3·9m^4}{3m^5}=\frac{24m^{7-5}}{1}\\ \frac{8m^3·9m^4}{3m^5}=24m^2\end{array}$