# How do you simplify (f^-3g^2)/(h^-4)?

Jul 15, 2018

$\text{ }$
color(red)((f^-3g^2)/(h^-4)=1/(f^3) * h^4*g^2

#### Explanation:

$\text{ }$
We are given the expression:

color(red)((f^-3g^2)/(h^-4)

Formula used:

color(blue)(a^(-b)=1/a^b

color(blue)(1/(1/a) = a

Using this formula, we can write

${f}^{- 3} = \frac{1}{f} ^ 3$

${h}^{- 4} = \frac{1}{h} ^ 4$

Hence, we get

color(red)((f^-3g^2)/(h^-4)=1/(f^3) * h^4*g^2

Hope it helps.

Jul 15, 2018

nothing cancels down as they are three different variables

But ${a}^{-} b = \frac{1}{a} ^ b$ so we can rewrite the expression with no negative powers

$\frac{{f}^{-} 3 {g}^{2}}{{h}^{-} 4} = \frac{{g}^{2} {h}^{4}}{f} ^ 3$