Simplify x^-2y^3*y^-2

$x^{- 2} y^{3} \cdot y^{- 2}$

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

Move $y^{- 2}$ .

$x^{- 2} (y^{- 2} y^{3})$

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

$x^{- 2} y^{- 2 + 3}$

Add $- 2$ and $3$ .

$x^{- 2} y^{1}$

Simplify $x^{- 2} y^{1}$ .

$x^{- 2} y$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Combine $\frac{1}{x^{2}}$ and $y$ .

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