Question

pls give the answer asap​

Answer 1

Step-by-step explanation:

$= > \frac{ {(a + \frac{1}{b}) }^{x} {(a - \frac{1}{b}) }^{y} }{ {(b + \frac{1}{a}) }^{x} {(b - \frac{1}{a} )}^{y} }$

$= > ({ \frac{a + \frac{1}{b} }{b + \frac{1}{a} } })^{x} ({ \frac{a - \frac{1}{b} }{b - \frac{1}{a} } })^{y}$

$= > ( ( { \frac{ab + 1}{b} )( \frac{ab + 1}{a} ))}^{x} (( { \frac{ab - 1}{b})( \frac{ab - 1}{a} )) }^{y}$

$= >( { \frac{a}{b} })^{x} ( { \frac{a}{b} })^{y}$

$= > ({ \frac{a}{b} })^{x+y}$