# How do you simplify (n^3p)^4?

Jan 26, 2017

See the entire simplification process below:

#### Explanation:

To simplify this expression use these two rules of exponents:

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

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

We can now rewrite and simplify the expression as:

${\left({n}^{3} p\right)}^{4} \to {\left({n}^{3} {p}^{\textcolor{red}{1}}\right)}^{4} \to {n}^{3 \times 4} {p}^{\textcolor{red}{1} \times 4} \to$

${n}^{12} {p}^{4}$