1^infinity

Because infinity/infinity is not defined, because infinity - infinity is not defined, because 0/0 is not defined and because 0^0 is not defined.

Lookie:

1^infinity / 1^infinity = 1^(infinity - infinity) = 1^(undefined)

orrr:
we say that 1^infinity = 1
then infinity is described as = lg 1 / lg 1, which is 0 / 0

0^1 / 0^1 = 0^(1-1) = 0^0 BUT YOU CANT DIVIDE BY 0.

Edit: In theory, if you say that 1^infinity = 1, then you also say that 0^0 = infinity. wat.

There's no limit to how many 0's you can divide into 0, so it's 0 or infinite!