Hi I need help with this exponent problem.

Question

(x^-1 + y^-1)^-2

thank you

Answer 1

I assume it is to simplify.

1/(1/x + 1/y)²

(xy)²/(y+x)²

remember this: (a+b)^2=(a+b)(a+b) so in
the denominator this happened

(xy)(1/x+1/y)(xy)(1/x+1/y)
(y+x)^2

Answer 2

thank you very much

Answer 3

_____1_______
(1/x + 1/y)^2

_________1_________
(1/x^2 + 2/xy + 1/y^2)

______x^2_y^2______
(y^2 + 2xy +x^2)

or
_x^2_y^2_
(x+y)^2