Solve (x^(4)y^(2) (2x))^(-2)

Evaluate

(x^{4} y^{2} (2 x))^{- 2}

Evaluate

(x^{4} y^{2} \times 2 x)^{- 2}

Multiply

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(2 x^{5} y^{2})^{- 2}

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

2^{- 2} (x^{5})^{- 2} (y^{2})^{- 2}

Evaluate the power

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\frac{1}{4} (x^{5})^{- 2} (y^{2})^{- 2}

Evaluate the power

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\frac{1}{4} x^{- 10} (y^{2})^{- 2}

Evaluate the power

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\frac{1}{4} x^{- 10} y^{- 4}

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

\frac{1}{4} \times \frac{1}{x ^{10}} \times y^{- 4}

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

\frac{1}{4} \times \frac{1}{x ^{10}} \times \frac{1}{y ^{4}}

Solution

\frac{1}{4 x ^{10} y ^{4}}

Simplify the expression