JAMB - Mathematics (1990 - No. 11)
Simplify (\(\frac{1}{x^{-1}} \div \frac{1}{y^{-1}}\))-1
\(\frac{y}{x}\)
xy
\(\frac{x}{y}\)
(xy)-1
Explication
Simplify (\(\frac{1}{x^{-1}} \div \frac{1}{y^{-1}}\))-1 = (\(\frac{1}{x^{-1}} \div \frac{1}{y^{-1}}\))-1
= \((x \div y)^{-1}\) = \(\frac{(x^{-1})}{y^{-1}}\)
= \(\frac{y}{x}\)
= \((x \div y)^{-1}\) = \(\frac{(x^{-1})}{y^{-1}}\)
= \(\frac{y}{x}\)