0^10 = 0^1000, because the result is '0', in both the cases. But, obviously 10 cannot be equal to 1000.
Similarly, 1^10=1 and also, 1^1000=1. But, 10 is not equal to 1000.
That's why in the equation given, 'x' can not assume the values of both Zero and 1.
In rest of the cases, if 'm' is to be equal to 'n', it could be something like this.
m = 4 and n = 2^2 or 8/2 and so many other probabilities.
1/0 = Infinity and 1000/0 = Infinity. But, can 1 be equal to infinity?
Those who have studied number theories in mathematics will easily understand these.