How do you simplify [(3^2)^2]^4?

Apr 24, 2017

See the entire solution process below:

Explanation:

First, we can square the term within the parenthesis:

${\left[{\left(\textcolor{red}{{3}^{2}}\right)}^{2}\right]}^{4} = {\left[{\left(\textcolor{red}{9}\right)}^{2}\right]}^{4} = {\left[{9}^{2}\right]}^{4}$

Next, we can square the term within the brackets:

${\left[\textcolor{red}{{9}^{2}}\right]}^{4} = {\left[81\right]}^{4}$

Now, we can take $81$ to the 4th power:

${\left[81\right]}^{4} = 43 , 046 , 721$