# How do you simplify (-3xy^3)^4?

Dec 17, 2016

$81 {x}^{4} {y}^{12}$

#### Explanation:

We can use the following rule for exponents to expand the term within parenthesis:

$\textcolor{red}{{\left({x}^{a}\right)}^{b} = {x}^{a \cdot b}}$

$- {3}^{4} {x}^{1 \cdot 4} {y}^{3 \cdot 4}$

$81 {x}^{4} {y}^{12}$