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)