Question

prove that (x^-1+y^-1)^-1=xy/x+y​

Answer 1

Step-by-step explanation:

x^-1+y^-1=xy/x+y

1/x^-1+y^-1 = 1/x^-1+1/y^-1 = x^-1+y^-1/x^-1y^-1 = (x+y)^-1/x^-1y^-1 = (now just reciprocal it) xy/x+y

• reciprocal of x^-1 is x

mark it as brillianist

Answer 2

this is simple question of indices/exponents