# How do you simplify (6x^2y^2)(-xy^4)^5?

Jul 11, 2015

#### Answer:

$- 6 {x}^{7} {y}^{22}$

#### Explanation:

Step 1: Move the bracketed powers into the inner terms:
$\left(6 {x}^{2} {y}^{2}\right) {\left(- x {y}^{4}\right)}^{5} = \left(6 {x}^{2} {y}^{2}\right) \left(- {x}^{5} {y}^{20}\right)$

Step 2: Combine the terms in the two brackets:
$\left(6 {x}^{2} {y}^{2}\right) \left(- {x}^{5} {y}^{20}\right) = - 6 {x}^{7} {y}^{22}$