Which expression is equal to $(x^{- 1} + y^{- 1})^{1}$ ?

x y

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x + y

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\frac{x y}{x + y}

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\frac{x + y}{x y}

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Solution

The correct option is D $\frac{x + y}{x y}$
We have,
$(x^{- 1} + y^{- 1})^{1}$
$= \frac{1}{x} + \frac{1}{y}$
$= \frac{x + y}{x y}$

Hence, this is the answer.

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