Here
x^5 ^y3 = x^8 y^5 = e (given)
by cancellation property-
x^5 ^y3 = x^8 y^5
x^3 y^2 = e -------------(1)
CASE 1- either x^3 can be the inverse of y^2, giving identity element e
CASE 2- either y^2 can be the inverse of x^3, giving identity element e
CASE 3- if not case 1 and 2, then both have to be identity element e to satisfy (1)
hence option A is correct