# How do you simplify -9(x/3)^2?

Feb 11, 2017

See the entire simplification process below:

#### Explanation:

First, we will use these two rules of exponents to simplify the terms within parenthesis:

$a = {a}^{\textcolor{red}{1}}$

${\left({x}^{\textcolor{red}{a}}\right)}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} \times \textcolor{b l u e}{b}}$

$- 9 {\left(\frac{x}{2}\right)}^{2} = - 9 {\left({x}^{\textcolor{red}{1}} / {3}^{\textcolor{red}{1}}\right)}^{\textcolor{b l u e}{2}} = - 9 \left({x}^{\textcolor{red}{1} \times \textcolor{b l u e}{2}} / \left({3}^{\textcolor{red}{1} \times \textcolor{b l u e}{2}}\right)\right) = - 9 \left({x}^{2} / {3}^{2}\right) =$

$- 9 \left({x}^{2} / 9\right) = - \textcolor{red}{\cancel{\textcolor{b l a c k}{9}}} \left({x}^{2} / \textcolor{red}{\cancel{\textcolor{b l a c k}{9}}}\right) = - {x}^{2}$