# How do you simplify ((3x^2)(6y^4)(z^2))/((12x)(3y^2)(z))?

Mar 29, 2018

$\frac{2 x {y}^{2} z}{4 x}$

#### Explanation:

To simply we know that the numbers divide $\frac{3}{12} = \frac{1}{4}$

We also know that for the exponents they subtract when we divide ${y}^{4} / {y}^{2} = {y}^{4 - 2} = {y}^{2}$

So $\frac{3 {x}^{2}}{12 x} = \frac{1 x}{4}$,

$\frac{6 {y}^{4}}{3 {y}^{2}} = 2 {y}^{2}$

${z}^{2} / z = z$

So if we mutiply all these part together we get

$\frac{2 x {y}^{2} z}{4 x}$