Simplify \(\left(\frac{1}{x^{-1}} + \frac{1}{y^{-1}}\right)^{-1}\)

  • A \(\frac{x}{y}\)
  • B xy
  • C \(\frac{x}{y}\)
  • D (xy)\(^{-1}\)
jamb 1990mathematics

The correct answer is C. \(\frac{x}{y}\)

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

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

= (x + y)

= \(\frac{(x)}{y}\)

= \(\frac{x}{y}\)

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