Simplify (\(\frac{1}{x^{-1}} \div \frac{1}{y^{-1}}\))-1
A
\(\frac{y}{x}\)
B
xy
C
\(\frac{x}{y}\)
D
(xy)-1
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Simplify (\(\frac{1}{x^{-1}} \div \frac{1}{y^{-1}}\))-1 = (\(\frac{1}{x^{-1}} \div \frac{1}{y^{-1}}\))-1
= \((x \div y)^{-1}\) = \(\frac{(x^{-1})}{y^{-1}}\)
= \(\frac{y}{x}\)
Source: Myschool Past Questions Archive (Record #31445)