# How do you simplify -2(xy)^3(x^2)?

Jul 23, 2015

$= - 2 {x}^{\textcolor{b l u e}{5}} {y}^{\textcolor{b l u e}{3}}$

#### Explanation:

$- 2 {\left(x y\right)}^{\textcolor{b l u e}{3}} \left({x}^{2}\right)$

$= - 2 {x}^{\textcolor{b l u e}{3}} {y}^{\textcolor{b l u e}{3}} {x}^{2}$

• Property: color(blue)(a^m*a^n= a^(m+n)

Applying the above mentioned property to powers of $x$

$= - 2 {x}^{\textcolor{b l u e}{\left(3 + 2\right)}} {y}^{\textcolor{b l u e}{3}}$

$= - 2 {x}^{\textcolor{b l u e}{5}} {y}^{\textcolor{b l u e}{3}}$