Question

How do you simplify `(15h^6k^3)/(5hk^2)` using only positive exponents?

Answer 1

`=> color(green)(3h^5k)`

Explanation:

`(15h^6k^3) / (5hk^2)`

`=> = (color(purple)(5) * 3* color(purple)(h) * h^5 * k* color(purple)(k^2)) / color(purple)(5 * h * k^2)`

Taking `(3*h^5 * k)` outside the bracket in the numerator,

`=>( (3h^5k) * cancel(color(red)((5hk^2)))) / cancel(color(red)((5hk^2)`

`=> color(green)(3h^5k)`