((x^-1 + y^-1)/(x^-1 - y^-1) ^-1 =??? yg ga bisa ga usah jawab

Mapel : Matematika
Kelas : IX SMP
Materi : Eksponen

Pembahasan :
[(x¯¹ + y¯¹)/(x¯¹ - y¯¹)]¯¹
= [(1/x + 1/y)/(1/x - 1/y)]¯¹
= [(x + y)/xy / (y - x)/xy]¯¹
= [(x + y)/(y - x)]¯¹
= (y - x)/(x + y)