# How do you simplify (x^-6w^4)/(w^2z^-1)?

Jun 12, 2015

 color(blue)(x^-6 w^2 z

#### Explanation:

$\frac{{x}^{-} 6 {w}^{4}}{{w}^{2} {z}^{-} 1}$

Note:
color(blue)(a^m / a^n = a^(m-n)
 color(blue)(1/a^-1 = a^1

Applying the above mentioned properties to the exponents of $w$ and $z$ respectively.

$= \left({x}^{- 6}\right) . \left({w}^{\textcolor{b l u e}{\left(4 - 2\right)}}\right) . \left({z}^{\textcolor{b l u e}{1}}\right)$

 = color(blue)(x^-6 w^2 z