Question

How do you simplify `(15d^4g^5)/(-3dg)`?

Answer 1

The answer is `-5d^3g^4`. See below for an explanation!

Explanation:

Let's remind ourselves of a key exponent rule:

`a^b/a^c=a^(b-c)`

Using this, we can get rid of the variables in the denominator:

`d^4/d=d^(4-1)=d^3`
`g^5/g=g^(5-1)=g^4`

We now have `(15d^3g^4)/-3`. All we have to do is divide by `-3` to get our final answer, `-5d^3g^4`.

Hope this helps!