$(- x)^{- y}$ is equal to

\frac{1}{(x)^{y}}

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\frac{1}{(- x)^{y}}

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x^{y}

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x^{- y}

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Solution

The correct option is B $\frac{1}{(- x)^{y}}$
For any non-zero integer 'a',
$a^{- m} = \frac{1}{a^{m}}$ ,
where 'm' is a positive integer.

Comparing the given expression $(- x)^{- y}$ with the LHS of the above equation,
$a = - x$ and $m = y$ .

Then, $(- x)^{- y} = \frac{1}{(- x)^{y}}$

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