How do you simplify (3times2^2)^2?

Jan 3, 2017

See full explanation below

Explanation:

First simplify the term $\textcolor{red}{{2}^{2}}$

${\left(3 \times \textcolor{red}{{2}^{2}}\right)}^{2} = {\left(3 \times 4\right)}^{2}$

Next simplify the term within the parenthesis:

${\left(\textcolor{b l u e}{3 \times 4}\right)}^{2} = {12}^{2}$

Finally simplify this square:

${12}^{2} = 12 \times 12 = 144$