Chapter 12.1, Problem 43STP

To determine

To calculate : To find the expanded value of ${\left(4\sqrt{5}\right)}^2$

Answer to Problem 43STP

The required expanded value for given expression is 80.

Explanation of Solution

Given information : ${\left(4\sqrt{5}\right)}^2$

Formula used : Applying exponent rule,

  $\begin{array}{l}{\left(ab\right)}^2\\ =a^2\cdot b^2\end{array}$

Calculation : The required value is,

  $\begin{array}{l}{\left(4\sqrt{5}\right)}^2\\ =4^2\cdot {\left(\sqrt{5}\right)}^2\\ =80\end{array}$