You can look at
http://mathforum.org/dr.math/faq/faq.0.to.0.power.html
Seems like the winner there is 0^0=1.
RJF
> -----Original Message-----
> From: maxima-bounces at math.utexas.edu
> [mailto:maxima-bounces at math.utexas.edu] On Behalf Of Barton Willis
> Sent: Friday, March 09, 2007 7:14 PM
> To: belanger at truman.edu
> Cc: maxima at math.utexas.edu
> Subject: Re: [Maxima] 0^0 (was Re: Operations on inf)
>
> -----maxima-bounces at math.utexas.edu wrote: -----
>
> >> That would be ugly. Instead, let's agree that 0^0 = 1. In other
> >> contexts, the definition 0^0 = 1 might not be a good thing.
> >
> >When would it be a bad thing?
>
> I don't know. For power series, the definition 0^0 = 1 often makes
> formulae shorter. Maybe in a more general setting, it's risky.
>
> Barton
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