Simplify (x^-2y^0)/(x^3y^-2)

$\frac{x^{- 2} y^{0}}{x^{3} y^{- 2}}$

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

$\frac{1}{x^{3} y^{- 2} x^{2}}$

Multiply $x^{3}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$\frac{1}{x^{2} x^{3} y^{- 2}}$

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

$\frac{1}{x^{2 + 3} y^{- 2}}$

Add $2$ and $3$ .

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

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

$\frac{y^{2}}{x^{5}}$