# Math Help - what is this expression simplified and how do you do these?

G^-8 H^4
___________
G^-10 H^14
Thanks

2. ## Re: what is this expression simplified and how do you do these?

$\frac{G^{-8}H^4}{G^{-10}H^{14}}$

when you dividing, you take the like term or the one with the same variable and substract their powers:

so we get For G:

-8-(-10)=-8+10=2 --> $G^2$

and for H:

4-14= -10 --> $H^{-10} or \frac{1}{H^{10}}$

putting this together we get:

$\frac{G^2}{H^{10}}$