question_answer

Simplify \[\frac{{{\left( a+\frac{1}{b} \right)}^{x}}\times {{\left( a-\frac{1}{b} \right)}^{y}}}{{{\left( b+\frac{1}{a} \right)}^{x}}{{\left( b-\frac{1}{a} \right)}^{y}}}.\]

A)  \[\frac{a}{b}\]                 

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

C)         \[{{\left( \frac{a}{b} \right)}^{y}}\]         

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