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OpenStudy (anonymous):

y^-1+x^-1/(xy)^-1. Explain steps.

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myininaya (myininaya):

\[\frac{y^{-1}+x^{-1}}{(xy)^{-1}}=\frac{\frac{1}{y}+\frac{1}{x}}{\frac{1}{xy}}=\frac{\frac{x+y}{xy}}{\frac{1}{xy}}=x+y\]

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