Chapter 6.2, Problem 38E

To determine

To calculate : the value of $\frac{7n^3·n^2}{n^4}$

Answer to Problem 38E

The value of $\frac{7n^3·n^2}{n^4}$ is $7n$

Explanation of Solution

Given information : The question is $\frac{7n^3·n^2}{n^4}$

Calculation :

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

Therefore,

  $\frac{7n^3·n^2}{n^4}=\frac{7n^3\times n^2}{n^4}$

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

  $\frac{7n^3·n^2}{n^4}=\frac{7n^{3+2}}{n^4}$

Apply quotient of power property to divide the powers

  $\begin{array}{l}\frac{7n^3·n^2}{n^4}=\frac{7n^{5-4}}{1}\\ \frac{7n^3·n^2}{n^4}=7n\end{array}$