Some computer programming languages are not exactly consistent (with
other computer programming languages) when raising zero to the zero power: 00, due
to differences in definitions by implementation.
Some return 1, 0 or even undefined.
Examples:
In Go, a complex (0+0i)0 = 1+0i (and 1+0i == 1 //true)
In C++, (0+0i)0 = nan
In Wolfram, (0+0i)0 = (undefined)
(These examples are relevant because 0+0i == 0 //true)
The OEIS (Online Encyclopedia of Integer Sequences) explains the subject very well. (article)
We can try to explain this case with an ensemblistic approach:
In set theory, we notice that if two sets M and N have respectively a cardinal equal
to n and m, then the number of applications from N to M is
equal to mn. Thus, 00 represents, in this precise context,
the number of applications from the empty set {Ø} to the empty set {Ø}, i.e. :
00 = 1.
(As an empty set have 0 element)