Solve (xy)^(-1) - (y^2)^(-2)

Evaluate

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

Multiply the exponents

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

Multiply the numbers

More Steps

(x y)^{- 1} - y^{- 4}

To raise a product to a power,raise each factor to that power

x^{- 1} y^{- 1} - y^{- 4}

Rewrite the expression

More Steps

\frac{1}{x y} - y^{- 4}

Express with a positive exponent using a^{- n} = \frac{1}{a ^{n}}

\frac{1}{x y} - \frac{1}{y ^{4}}

Reduce fractions to a common denominator

\frac{y ^{3}}{x y \times y ^{3}} - \frac{x}{y ^{4} x}

Multiply

More Steps

\frac{y ^{3}}{x y ^{4}} - \frac{x}{y ^{4} x}

Rewrite the expression

\frac{y ^{3}}{x y ^{4}} - \frac{x}{x y ^{4}}

Solution

\frac{y ^{3} - x}{x y ^{4}}

Simplify the expression