# How do you simplify (-2w^-2)(-3w^2b^-2)(-5b^-3) ?

Jun 22, 2015

=color(blue)(-30b^-5

#### Explanation:

Here all terms within brackets need to be multiplied:

Rearranging the terms
$\left(- 2. - 3 . - 5\right) \left({w}^{-} 2 . {w}^{2}\right) \left(. {b}^{-} 2 {b}^{-} 3\right)$

Note: color(blue)(a^m.a^n = a^(m+n)

Applying the above property to the exponents of $w$ and $b$

=-30.w^color(blue)((-2 +2)).b^color(blue)((-2-3)
$= - 30 {w}^{0} {b}^{-} 5$

Note: color(blue)(a^0 = 1
=color(blue)(-30b^-5