Here's Knuth's opinion on 0^0: http://arxiv.org/pdf/math/9205211v1.pdf http://arxiv.org/pdf/math/9205211v1.pdf (on page 6) He makes a few pretty convincing poi

Here's Knuth's opinion on 0^0: http://arxiv.org/pdf/math/9205211v1.pdf http://arxiv.org/pdf/math/9205211v1.pdf (on page 6) He makes a few pretty convincing points about why it's useful to define it equal to 1, while admitting that in some sense, it's not quite as well defined as say 0+0.