Chapter 13.2, Problem 15AR

To determine

To simplify. Use only positive exponents $\frac{r^9}{r^4}$.

Answer to Problem 15AR

The required solution is $\frac{r^9}{r^4}=r^5$ .

Explanation of Solution

Given information: The number is $\frac{r^9}{r^4}$ .

Calculation: The required solution is obtained as,

When you are dividing two exponents with the same number, you subtract the bottom exponent from the top exponent.

  $\begin{array}{l}\frac{r^9}{r^4}\\ =r^9\cdot r^{-4}\\ =r^{\left(9-4\right)}\\ =r^5\end{array}$

Hence, the required solution is $\frac{r^9}{r^4}=r^5$ .