want to get an integer, so y should be multiple of 2, so i like 2.....
We have: .Solve the equation for integers: .
Since the right side is rational, the exponent must be an integer.
. . Hence, the right side is a power-of-2.
Then: . for some positive integer
. . And: .
So must be divisible by 3.
. . This happens when is even: .
. . Hence, we have: .
Then  becomes: .
. . and we have: .
Substitute  into : .
The first few solutions are: .