Question

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

Answer 1

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)`