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

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

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

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

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

1.	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.	\[{{\left( \frac{a}{b} \right)}^{x+y}}\]
Answer» E.

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

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