Simplify the expression $2 (- 4 j^{3} k^{- 4})^{- 3}$

- \frac{k^{12}}{512 j^{9}}

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- \frac{k^{12}}{32 j^{9}}

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- \frac{j^{9}}{32 k^{12}}

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- \frac{k^{12}}{128 j^{9}}

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Solution

The correct option is B $- \frac{k^{12}}{32 j^{9}}$
$2 (- 4 j^{3} k^{- 4})^{- 3}$
$= \frac{2}{(- 4 j^{3} k^{- 4})^{3}}$
$= \frac{2}{- 64 j^{9} k^{- 12}}$
$= - \frac{k^{12}}{32 j^{9}}$

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