Simplify (4x^3y^6z^4)/(8x^6yz^3)

$\frac{4 x^{3} y^{6} z^{4}}{8 x^{6} y z^{3}}$

Step 1

Cancel the common factor of $4$ and $8$ .

Factor $4$ out of $4 x^{3} y^{6} z^{4}$ .

$\frac{4 (x^{3} y^{6} z^{4})}{8 x^{6} y z^{3}}$

Cancel the common factors.

Factor $4$ out of $8 x^{6} y z^{3}$ .

$\frac{4 (x^{3} y^{6} z^{4})}{4 (2 x^{6} y z^{3})}$

Cancel the common factor.

$\frac{4 (x^{3} y^{6} z^{4})}{4 (2 x^{6} y z^{3})}$

Rewrite the expression.

$\frac{x^{3} y^{6} z^{4}}{2 x^{6} y z^{3}}$

Step 2

Cancel the common factor of $x^{3}$ and $x^{6}$ .

Factor $x^{3}$ out of $x^{3} y^{6} z^{4}$ .

$\frac{x^{3} (y^{6} z^{4})}{2 x^{6} y z^{3}}$

Cancel the common factors.

Factor $x^{3}$ out of $2 x^{6} y z^{3}$ .

$\frac{x^{3} (y^{6} z^{4})}{x^{3} (2 x^{3} y z^{3})}$

Cancel the common factor.

$\frac{x^{3} (y^{6} z^{4})}{x^{3} (2 x^{3} y z^{3})}$

Rewrite the expression.

$\frac{y^{6} z^{4}}{2 x^{3} y z^{3}}$

Step 3

Cancel the common factor of $y^{6}$ and $y$ .

Factor $y$ out of $y^{6} z^{4}$ .

$\frac{y (y^{5} z^{4})}{2 x^{3} y z^{3}}$

Cancel the common factors.

Factor $y$ out of $2 x^{3} y z^{3}$ .

$\frac{y (y^{5} z^{4})}{y (2 x^{3} z^{3})}$

Cancel the common factor.

$\frac{y (y^{5} z^{4})}{y (2 x^{3} z^{3})}$

Rewrite the expression.

$\frac{y^{5} z^{4}}{2 x^{3} z^{3}}$

Step 4

Cancel the common factor of $z^{4}$ and $z^{3}$ .

Factor $z^{3}$ out of $y^{5} z^{4}$ .

$\frac{z^{3} (y^{5} z)}{2 x^{3} z^{3}}$

Cancel the common factors.

Factor $z^{3}$ out of $2 x^{3} z^{3}$ .

$\frac{z^{3} (y^{5} z)}{z^{3} (2 x^{3})}$

Cancel the common factor.

$\frac{z^{3} (y^{5} z)}{z^{3} (2 x^{3})}$

Rewrite the expression.

$\frac{y^{5} z}{2 x^{3}}$