Simplest form of the Expression ${(x^{6} . y^{- 5 / 4})}^{- 4 / 3}$ will be-

x^{- 24} y

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x^{- 8} y^{5 / 3}

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x^{8} y^{- 5 / 3}

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x^{- 8} y^{- 5 / 3}

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Solution

The correct option is B $x^{- 8} y^{5 / 3}$
${(x^{6} . y^{- 5 / 4})}^{- 4 / 3}$
$= x^{- 6 \times 4 / 3} y^{\frac{- 5}{4} \times - \frac{4}{3}}$
$= x^{- 8} y^{5 / 3}$

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