Question

How do you simplify `(g^2/h)/(g^5/h^2)`?

Answer 1

`((g^2)/h)/((g^5)/(h^2))=color(green)(h/(g^3))`

Explanation:

Division is equivalent to multiplication by the (multiplicative) inverse.

So `((g^2)/h)/((g^5)/(h^2))`

is equivalent to `((g^2)/h) xx((h^2)/(g^5))`

`color(white)("XXX")(color(red)(cancel(color(black)(g^2)))/(color(blue)(cancel(color(black)(h)))))xx(color(blue)(cancel(color(black)(h^2))^h)/(color(red)(cancel(color(black)(g^5))_(g^3))))`

`color(white)("XXX")=h/(g^3)`