# How do you simplify ((2^2)^2]^2?

Apr 30, 2017

See the solution process below:

#### Explanation:

First, evaluate the inner most term:

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

Next, evaluate the "new" inner most term:

[color(red)((4)^2))]^2 = [color(red)(16)]^2

Now, evaluate the remaining term:

$\textcolor{red}{{\left[16\right]}^{2}} = 256$