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

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

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

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

Multiply $x^{0}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

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

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

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

Add $2$ and $0$ .

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

Cancel the common factor of $y^{2}$ and $y^{3}$ .

Multiply by $1$ .

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

Cancel the common factors.

Factor $y^{2}$ out of $x^{2} y^{3}$ .

$\frac{y^{2} \cdot 1}{y^{2} (x^{2} y)}$

Cancel the common factor.

$\frac{y^{2} \cdot 1}{y^{2} (x^{2} y)}$

Rewrite the expression.

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