We have here that we need to get the domain for that part of the expression with the most restricted domain. In this case, we have that the most restricted one is the case for:
The domain for this, in the set of Real Numbers, must be:
However, since for this function to be in the Real sets of numbers, we need to avoid the value of zero because this value creates no determined value as:
Since the values for 0^(0) are not defined, then the domain for the function is
x > 0.