Simplify (x^-2y^0)/(x^4y^-5)

$\frac{x^{- 2} y^{0}}{x^{4} y^{- 5}}$

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

$\frac{1}{x^{4} y^{- 5} x^{2}}$

Multiply $x^{4}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$\frac{1}{x^{2} x^{4} y^{- 5}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{1}{x^{2 + 4} y^{- 5}}$

Add $2$ and $4$ .

$\frac{1}{x^{6} y^{- 5}}$

Move $y^{- 5}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

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