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

Aug 5, 2015

First let's multiply the numerators:

$6 {x}^{5} {y}^{3} \times 6 {x}^{4} = 36 {x}^{9} {y}^{3}$

Now multiply the denominators:

$5 {z}^{3} \times 5 y {z}^{4} = 25 y {z}^{7}$

Putting these 2 together gives us the answer.

$\frac{36 {x}^{9} {y}^{3}}{25 y {z}^{7}}$

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.

$\frac{36 {x}^{9} {y}^{2}}{25 {z}^{7}}$