Question

please help to solve this exponent ​

Answer 1

Answer:

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

Step-by-step explanation:

$\frac{x^{-1} y^{-1} }{x^{-1} +y^{-1} }$

= 1 ÷ $\frac{x^{-1} +y^{-1} }{x^{-1} y^{-1} }$

= 1 ÷ $\frac{x^{-1} +y^{-1} }{(xy)^{-1} }$

= 1 ÷ $(x^{-1} +y^{-1})(xy)^{1}$

= 1 ÷ $(x^{-1} +y^{-1})(xy)$

= 1 ÷ $(x^{-1})(xy) + (y^{-1})(xy)$

= 1 ÷ $y + x$

= $\frac{1}{y + x}$

= 1 / (x + y)

= (x+y)^(-1)

$= (x+y)^{-1}$