Simplify (xy^2)(xy^2)^-1

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

Step 1

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

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

Step 2

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

Cancel the common factor.

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

Rewrite the expression.

$1$