A) \[{{\left( \frac{y}{x} \right)}^{a+b}}\]
B) \[{{\left( \frac{x}{y} \right)}^{a+b}}\]
C) \[{{\left( \frac{y}{x} \right)}^{a-b}}\]
D) \[{{\left( \frac{x}{y} \right)}^{a-b}}\]
Correct Answer: B
Solution :
[b] Given expression \[=\frac{{{\left( \frac{xy+1}{y} \right)}^{a}}{{\left( \frac{xy-1}{y} \right)}^{b}}}{{{\left( \frac{xy+1}{x} \right)}^{a}}{{\left( \frac{xy-1}{x} \right)}^{b}}}\] \[\frac{{{x}^{a}}}{{{y}^{a}}}.\frac{{{x}^{b}}}{{{y}^{b}}}={{\left( \frac{x}{y} \right)}^{a+b}}\]You need to login to perform this action.
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