Really Hard Math Problem?

[Aekom]

What are the last 10 digits of tet(2337, 2339)?

You're given that tet(a,0) = 1 and that tet(a,b+1) = a^tet(a,b) for a and b non-negative integers.
See Wikipedia on tetration.

I'm not going to pretend I know anything about Tetration, but I thought I'd have a go anyway. As far as I understand, Tetration is iterated powers (powers of a power). I'm assuming that tet(a,0) = 1 is another notation style for (please correct me if I'm just making stuff up here).

I tried to give it a go through WolframAlpha using the information from this thread:

http://community.wolframalpha.com/viewto...20&t=73980

and it came back with "indeterminate": http://www.wolframalpha.com/input/?i=+Po...2C+{2339}]