Simplify (27x^2z^6)/(-3x^2z)

$\frac{27 x^{2} z^{6}}{- 3 x^{2} z}$

Cancel the common factor of $27$ and $- 3$ .

Factor $3$ out of $27 x^{2} z^{6}$ .

$\frac{3 (9 x^{2} z^{6})}{- 3 x^{2} z}$

Cancel the common factors.

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

$\frac{3 (9 x^{2} z^{6})}{3 (- x^{2} z)}$

Cancel the common factor.

$\frac{3 (9 x^{2} z^{6})}{3 (- x^{2} z)}$

Rewrite the expression.

$\frac{9 x^{2} z^{6}}{- x^{2} z}$

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

Cancel the common factor.

$\frac{9 x^{2} z^{6}}{- x^{2} z}$

Rewrite the expression.

$\frac{9 z^{6}}{- 1 z}$

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

Factor $z$ out of $9 z^{6}$ .

$\frac{z (9 z^{5})}{- 1 z}$

Move the negative one from the denominator of $\frac{9 z^{5}}{- 1}$ .

$- 1 \cdot (9 z^{5})$

Simplify the expression.

Rewrite $- 1 \cdot (9 z^{5})$ as $- (9 z^{5})$ .

$- (9 z^{5})$

Multiply $9$ by $- 1$ .

$- 9 z^{5}$