Chapter 4.3, Problem 35IP

To determine

To find: the quotient of expression.

Answer to Problem 35IP

The quotient of the expression is $\frac{1}{8^{13}}$ .

Explanation of Solution

Given information:

Aexpression is $\frac{8^{-7}}{8^4}$ .

Calculation : to find the quotient, use th quotient of power property and then subtract the exponents,

  $\begin{array}{l}\frac{8^{-7}}{8^4}=8^{-7-4}\text{ [}{a}^m÷a^n=a^{m-n}]\\ \frac{8^{-7}}{8^4}=8^{-13}\text{ [subtract the exponents]}\\ \frac{8^{-7}}{8^4}=\frac{1}{8^{13}}\text{ [}{a}^{-m}=\frac{1}{a^m}]\end{array}$

The quotient of expression is $\frac{1}{8^{13}}$ .