zero to an imaginary power

We know i^0=1 but what is 0^i? In fact, it turns out 0 to the i-th power is another undefined expression. This is a very interesting complex analysis topic. Whenever we have a real number raised to a complex power, things might get strange. If you find math fascinating, then you should also check out this video on how we should really compute i^(4/4)    • be careful when an imaginary number i...  

Likewise (infinity)^i doesn't exist either.

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