question_answer

The value of \[\frac{{{\left( x+\frac{1}{y} \right)}^{a}}{{\left( x-\frac{1}{y} \right)}^{b}}}{{{\left( y+\frac{1}{x} \right)}^{a}}{{\left( y-\frac{1}{x} \right)}^{b}}}\]is equal to

A)  \[{{\left( \frac{x}{y} \right)}^{a+b}}\]      

B)         \[{{\left( \frac{y}{x} \right)}^{a+b}}\]

C)  \[{{(xy)}^{a+b}}\]          

D)         \[\frac{{{x}^{n}}}{{{y}^{b}}}\]