# How do you use the laws of exponents to simplify the expression (-2x^2y)^3(5xy^3)^2?

Apr 19, 2018

$- 200 {x}^{8} {y}^{9}$

#### Explanation:

${\left({x}^{a}\right)}^{b} = {x}^{a \text{ x } b}$

So,

$- 8 {x}^{6} {y}^{3} \text{ x } 25 {x}^{2} {y}^{6}$

${x}^{a} \text{ x } {x}^{b} = {x}^{a + b}$

$- 200 {x}^{8} {y}^{9}$