Simplify (x^3y^2z^6)/(z^5x^2y)

$\frac{x^{3} y^{2} z^{6}}{z^{5} x^{2} y}$

Step 1

Cancel the common factor of $x^{3}$ and $x^{2}$ .

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

$\frac{x^{2} (x y^{2} z^{6})}{z^{5} x^{2} y}$

Cancel the common factors.

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

$\frac{x^{2} (x y^{2} z^{6})}{x^{2} (z^{5} y)}$

Cancel the common factor.

$\frac{x^{2} (x y^{2} z^{6})}{x^{2} (z^{5} y)}$

Rewrite the expression.

$\frac{x y^{2} z^{6}}{z^{5} y}$

$\frac{x y^{2} z^{6}}{z^{5} y}$

$\frac{x y^{2} z^{6}}{z^{5} y}$

Step 2

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

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

$\frac{y (x y z^{6})}{z^{5} y}$

Cancel the common factors.

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

$\frac{y (x y z^{6})}{y z^{5}}$

Cancel the common factor.

$\frac{y (x y z^{6})}{y z^{5}}$

Rewrite the expression.

$\frac{x y z^{6}}{z^{5}}$

$\frac{x y z^{6}}{z^{5}}$

$\frac{x y z^{6}}{z^{5}}$

Step 3

Cancel the common factor of $z^{6}$ and $z^{5}$ .

Factor $z^{5}$ out of $x y z^{6}$ .

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

Cancel the common factors.

Multiply by $1$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{x y z}{1}$

Divide $x y z$ by $1$ .

$x y z$

$x y z$

$x y z$

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