What is simplify-4(3x^{-2}y^4)^{-1} ?

The solution to simplify-4(3x^{-2}y^4)^{-1} is -(4x^2)/(3y^4)

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simplify-4(3x^{-2}y^4)^{-1}

simplify

- 4 (3 x^{- 2} y^{4})^{- 1}

- \frac{4 x ^{2}}{3 y ^{4}}

Solution steps

- 4 (3 x^{- 2} y^{4})^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

(3 x^{- 2} y^{4})^{- 1} = \frac{1}{3 x ^{- 2} y ^{4}}

= - 4 \cdot \frac{1}{3 x ^{- 2} y ^{4}}

Simplify

\frac{1}{3 x ^{- 2} y ^{4}} : \frac{x ^{2}}{3 y ^{4}}

= - 4 \cdot \frac{x ^{2}}{3 y ^{4}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{4 x ^{2}}{3 y ^{4}}

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What is simplify-4(3x^{-2}y^4)^{-1} ?
The solution to simplify-4(3x^{-2}y^4)^{-1} is -(4x^2)/(3y^4)