How do you simplify #(6x^5y^3)/(5z^3) * (6x^4)/(5yz^4)#?

1 Answer
Aug 5, 2015

First let's multiply the numerators:

#6x^5y^3 times 6x^4 = 36x^9y^3#

Now multiply the denominators:

#5z^3 times 5yz^4 = 25yz^7#

Putting these 2 together gives us the answer.

#(36x^9y^3)/(25yz^7)#

Now, see what can be cancelled out. In this case, the only thing that will match up on the top and bottom are the 'y's. We have #y^3# on the top and just #y^1# on the bottom, so if we divide both sides by #y^1#, that simplifies the expression as far as we can.

#(36x^9y^2)/(25z^7)#