Solve (2b^3c^4)^-2

Evaluate

(2 b^{3} c^{4})^{- 2}

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

2^{- 2} (b^{3})^{- 2} (c^{4})^{- 2}

Evaluate the power

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\frac{1}{4} (b^{3})^{- 2} (c^{4})^{- 2}

Evaluate the power

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\frac{1}{4} b^{- 6} (c^{4})^{- 2}

Evaluate the power

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\frac{1}{4} b^{- 6} c^{- 8}

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

\frac{1}{4} \times \frac{1}{b ^{6}} \times c^{- 8}

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

\frac{1}{4} \times \frac{1}{b ^{6}} \times \frac{1}{c ^{8}}

Solution

\frac{1}{4 b ^{6} c ^{8}}

Simplify the expression