I have this exercise:
$a,b$ are positive integers. Get all $a,b$ numbers that satisfies $a^{b^2} = b^a$
Is hard to me, but I have these advances:
$a,b$ must be both even or both odd, since $a, b$ are the base.
Besides, if $a > b$, the exponent and the exponent of $a$ is $b^2$ and the exponent of $b$ is $a$, therefore $a > b^2$
So far I have managed to develop the exercise, what can I do? How do you work with these types of mathematical problems? Thanks in advance