Chapter 7.4, Problem 1P

Simplify each expression.

$\frac{5^6}{5^2}$

To determine

The simplification of the given expression $\frac{5^6}{5^2}.$

Answer to Problem 1P

  $\frac{5^6}{5^2}=625$

Explanation of Solution

Given:

  $\frac{5^6}{5^2}$

Concept used:

  $\frac{a^m}{a^n}=a^{m-n}$

Calculation:

  $\begin{array}{l}\frac{5^6}{5^2}=5^{6-2}\\ =5^4\\ =625\end{array}$