Chapter 9.1, Problem 63STP

To determine

To Evaluate: The expression ${\left(\frac{4}{5}\right)}^2$ and choose the correct option

 A) $\frac{8}{25}$

 B) $\frac{16}{25}$

 C) $\frac{8}{10}$

 D) $1\frac{3}{5}$

Answer to Problem 63STP

The required answer is $\frac{16}{25}$ that is option B.

Explanation of Solution

Given information:

  ${\left(\frac{4}{5}\right)}^2$

Calculation:

  $\begin{array}{l}{\left(\frac{4}{5}\right)}^2=\frac{4^2}{5^2}\\ =\frac{4\cdot 4}{5\cdot 5}\\ =\frac{16}{25}\end{array}$

Thus option B is correct.