# How do you simplify (3n^4y^2)^2?

Jun 1, 2018

See a solution process below:

#### Explanation:

First, use this rule for exponents to rewrite the $3$ term:

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

${\left(3 {n}^{4} {y}^{2}\right)}^{2} \implies {\left({3}^{\textcolor{red}{1}} {n}^{4} {y}^{2}\right)}^{2}$

Now, use this rule for exponents to complete the simplification:

${\left({3}^{\textcolor{red}{1}} {n}^{\textcolor{red}{4}} {y}^{\textcolor{red}{2}}\right)}^{\textcolor{b l u e}{2}} \implies {3}^{\textcolor{red}{1} \times \textcolor{b l u e}{2}} {n}^{\textcolor{red}{4} \times \textcolor{b l u e}{2}} {y}^{\textcolor{red}{2} \times \textcolor{b l u e}{2}} \implies {3}^{2} {n}^{8} {y}^{4} \implies 9 {n}^{8} {y}^{4}$