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

Mathematics
JAMB 1990

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

  • A. \(\frac{y}{x}\)
  • B. xy
  • C. \(\frac{x}{y}\)
  • D. (xy)-1
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Correct Answer: Option A
Explanation

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

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

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


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