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

1 Answer
Jun 24, 2018

Answer:

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!