Simplify (-3x^2yz^3)/(9z^10x)

$\frac{- 3 x^{2} y z^{3}}{9 z^{10} x}$

Cancel the common factor of $- 3$ and $9$ .

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

$\frac{3 (- x^{2} y z^{3})}{9 z^{10} x}$

Cancel the common factors.

Factor $3$ out of $9 z^{10} x$ .

$\frac{3 (- x^{2} y z^{3})}{3 (3 z^{10} x)}$

Cancel the common factor.

$\frac{3 (- x^{2} y z^{3})}{3 (3 z^{10} x)}$

Rewrite the expression.

$\frac{- x^{2} y z^{3}}{3 z^{10} x}$

$\frac{- x^{2} y z^{3}}{3 z^{10} x}$

$\frac{- x^{2} y z^{3}}{3 z^{10} x}$

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

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

$\frac{x (- x y z^{3})}{3 z^{10} x}$

Cancel the common factors.

Factor $x$ out of $3 z^{10} x$ .

$\frac{x (- x y z^{3})}{x (3 z^{10})}$

Cancel the common factor.

$\frac{x (- x y z^{3})}{x (3 z^{10})}$

Rewrite the expression.

$\frac{- x y z^{3}}{3 z^{10}}$

$\frac{- x y z^{3}}{3 z^{10}}$

$\frac{- x y z^{3}}{3 z^{10}}$

Cancel the common factor of $z^{3}$ and $z^{10}$ .

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

$\frac{z^{3} (- x y)}{3 z^{10}}$

Cancel the common factors.

Factor $z^{3}$ out of $3 z^{10}$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{- x y}{3 z^{7}}$

$\frac{- x y}{3 z^{7}}$

$\frac{- x y}{3 z^{7}}$

Move the negative in front of the fraction.

$- \frac{x y}{3 z^{7}}$

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