Evaluate (x^4)/(x^4y^-2y^4)

$\frac{x^{4}}{x^{4} y^{- 2} y^{4}}$

Multiply $y^{- 2}$ by $y^{4}$ by adding the exponents.

Move $y^{4}$ .

$\frac{x^{4}}{x^{4} (y^{4} y^{- 2})}$

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

$\frac{x^{4}}{x^{4} y^{4 - 2}}$

Subtract $2$ from $4$ .

$\frac{x^{4}}{x^{4} y^{2}}$

Cancel the common factor of $x^{4}$ .

Cancel the common factor.

$\frac{x^{4}}{x^{4} y^{2}}$

Rewrite the expression.

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