Solve (5u^-2v^2)^-2

Evaluate

(5 u^{- 2} v^{2})^{- 2}

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

5^{- 2} (u^{- 2})^{- 2} (v^{2})^{- 2}

Evaluate the power

More Steps

\frac{1}{25} (u^{- 2})^{- 2} (v^{2})^{- 2}

Evaluate the power

More Steps

\frac{1}{25} u^{4} (v^{2})^{- 2}

Evaluate the power

More Steps

\frac{1}{25} u^{4} v^{- 4}

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

\frac{1}{25} u^{4} \times \frac{1}{v ^{4}}

Solution

\frac{u ^{4}}{25 v ^{4}}

Simplify the expression