Chapter 5.9, Problem 37CCR

To determine

Tofind: Thequotient of the ratio $\frac{4^{13}}{4^6}$ in exponents.

Answer to Problem 37CCR

The quotient of the ratio $\frac{4^{13}}{4^6}$ is $4^7$ .

Explanation of Solution

Given information:

The given ratiois $\frac{4^{13}}{4^6}$ .

Calculation:

Consider the property of division.

  $\frac{a^m}{a^n}=a^{m-n}$

To find the quotient, apply the property.

  $\begin{array}{c}\frac{4^{13}}{4^6}=4^{13-6}\\ =4^7\end{array}$

Therefore, the quotient of the ratio $\frac{4^{13}}{4^6}$ is $4^7$ .