Evaluate (12x^4y^8z^7)/(4xy^3z^2)

$\frac{12 x^{4} y^{8} z^{7}}{4 x y^{3} z^{2}}$

Cancel the common factor of $12$ and $4$ .

Factor $4$ out of $12 x^{4} y^{8} z^{7}$ .

$\frac{4 (3 x^{4} y^{8} z^{7})}{4 x y^{3} z^{2}}$

Cancel the common factors.

Factor $4$ out of $4 x y^{3} z^{2}$ .

$\frac{4 (3 x^{4} y^{8} z^{7})}{4 (x y^{3} z^{2})}$

Cancel the common factor.

$\frac{4 (3 x^{4} y^{8} z^{7})}{4 (x y^{3} z^{2})}$

Rewrite the expression.

$\frac{3 x^{4} y^{8} z^{7}}{x y^{3} z^{2}}$

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

Factor $x$ out of $3 x^{4} y^{8} z^{7}$ .

$\frac{x (3 x^{3} y^{8} z^{7})}{x y^{3} z^{2}}$

Cancel the common factors.

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

$\frac{x (3 x^{3} y^{8} z^{7})}{x (y^{3} z^{2})}$

Cancel the common factor.

$\frac{x (3 x^{3} y^{8} z^{7})}{x (y^{3} z^{2})}$

Rewrite the expression.

$\frac{3 x^{3} y^{8} z^{7}}{y^{3} z^{2}}$

Cancel the common factor of $y^{8}$ and $y^{3}$ .

Factor $y^{3}$ out of $3 x^{3} y^{8} z^{7}$ .

$\frac{y^{3} (3 x^{3} y^{5} z^{7})}{y^{3} z^{2}}$

Cancel the common factors.

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

$\frac{y^{3} (3 x^{3} y^{5} z^{7})}{y^{3} (z^{2})}$

Cancel the common factor.

$\frac{y^{3} (3 x^{3} y^{5} z^{7})}{y^{3} z^{2}}$

Rewrite the expression.

$\frac{3 x^{3} y^{5} z^{7}}{z^{2}}$

Cancel the common factor of $z^{7}$ and $z^{2}$ .

Factor $z^{2}$ out of $3 x^{3} y^{5} z^{7}$ .

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

Cancel the common factors.

Multiply by $1$ .

$\frac{z^{2} (3 x^{3} y^{5} z^{5})}{z^{2} \cdot 1}$

Cancel the common factor.

$\frac{z^{2} (3 x^{3} y^{5} z^{5})}{z^{2} \cdot 1}$

Rewrite the expression.

$\frac{3 x^{3} y^{5} z^{5}}{1}$

Divide $3 x^{3} y^{5} z^{5}$ by $1$ .

$3 x^{3} y^{5} z^{5}$