Chapter 7.4, Problem 7P

Simplify each expression.

${\left(\frac{3}{5}\right)}^4$

To determine

The simplification of the given expression ${\left(\frac{3}{5}\right)}^4$ .

Answer to Problem 7P

  ${\left(\frac{3}{5}\right)}^4=\frac{81}{625}$

Explanation of Solution

Given:

  ${\left(\frac{3}{5}\right)}^4$

Concept used:

  ${\left(\frac{a}{b}\right)}^m=\frac{a^m}{b^m}$

Calculation:

  $\begin{array}{l}{\left(\frac{3}{5}\right)}^4=\frac{3^4}{5^4}\\ =\frac{81}{625}\end{array}$