Simplify (-zx^4y^0)/(-4x^4y^0z^2)

$\frac{- z x^{4} y^{0}}{- 4 x^{4} y^{0} z^{2}}$

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

Factor $z$ out of $- z x^{4} y^{0}$ .

$\frac{z (- 1 x^{4} y^{0})}{- 4 x^{4} y^{0} z^{2}}$

Cancel the common factors.

Factor $z$ out of $- 4 x^{4} y^{0} z^{2}$ .

$\frac{z (- 1 x^{4} y^{0})}{z (- 4 x^{4} y^{0} z)}$

Cancel the common factor.

$\frac{z (- 1 x^{4} y^{0})}{z (- 4 x^{4} y^{0} z)}$

Rewrite the expression.

$\frac{- 1 x^{4} y^{0}}{- 4 x^{4} y^{0} z}$

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

Cancel the common factor.

$\frac{- 1 x^{4} y^{0}}{- 4 x^{4} y^{0} z}$

Rewrite the expression.

$\frac{- 1 y^{0}}{- 4 y^{0} z}$

Cancel the common factor of $y^{0}$ .

Cancel the common factor.

$\frac{- 1 y^{0}}{- 4 y^{0} z}$

Rewrite the expression.

$\frac{- 1}{- 4 z}$

Dividing two negative values results in a positive value.

$\frac{1}{4 z}$