# How do you simplify (2k^4)^4 and write it using only positive exponents?

Feb 22, 2017

See the entire simplification process below:

#### Explanation:

Use these two rules for exponents to simplify this expression:

$a = {a}^{\textcolor{red}{1}}$ and ${\left({x}^{\textcolor{red}{a}}\right)}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} \times \textcolor{b l u e}{b}}$

${\left(2 {k}^{4}\right)}^{4} = {\left({2}^{\textcolor{red}{1}} {k}^{\textcolor{red}{4}}\right)}^{\textcolor{b l u e}{4}} = {2}^{\textcolor{red}{1} \times \textcolor{b l u e}{4}} {k}^{\textcolor{red}{4} \times \textcolor{b l u e}{4}} = {2}^{4} {k}^{16} = 16 {k}^{16}$