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

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

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

Move $x^{- 2}$ .

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

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

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

Add $- 2$ and $2$ .

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

Simplify $x^{0} y^{3} y^{- 2}$ .

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

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

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

$y^{3 - 2}$

Subtract $2$ from $3$ .

$y^{1}$

Simplify $y^{1}$ .

$y$