Simplify (-6^-2x^0z^-6)/(2y^-4)

$\frac{- 6^{- 2} x^{0} z^{- 6}}{2 y^{- 4}}$

Simplify.

Move $6^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{- 1 z^{- 6}}{2 y^{- 4} \cdot 6^{2}}$

Move $z^{- 6}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{- 1}{2 y^{- 4} \cdot 6^{2} z^{6}}$

Move $y^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{- y^{4}}{2 \cdot 6^{2} z^{6}}$

Simplify the denominator.

Raise $6$ to the power of $2$ .

$\frac{- y^{4}}{2 \cdot 36 z^{6}}$

Multiply $2$ by $36$ .

$\frac{- y^{4}}{72 z^{6}}$

Move the negative in front of the fraction.

$- \frac{y^{4}}{72 z^{6}}$