Question

How do you simplify `(14f^-3g^2h^-7)/(21k^3)`?

Answer 1

`(2f^-3 g^2h^-7)/(3k^3) = (2g^2)/(3f^3h^7k^3)`

Explanation:

Technically the only thing needed to simplify this expression is to change `14/21` to `2/3`.

So `(2f^-3 g^2h^-7)/(3k^3)` is simplified.

However, usually mathematicians prefer to have all of the exponents positive. To make them positive, you flip them to the other side of the dividing line using the exponential rules:
`1/x^-m = x^m` and `x^-n = 1/x^n`

Which leaves: `(2g^2)/(3f^3h^7k^3)`