Is There Meaning for 2 Power i ..?

Question

Mathamatical Doubt

Answer 1

2 Power i

do you mean i²

i² = - 1

i is not a real number

i is called a imaginary number

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Answer 2

Yes. Complex numbers . Great answer Amit.

Answer 3

e^ix = cos(x) + isin(x)

2 = e^ln(2)

2^i = [e^ln(2)]^i = e^(i * ln2) = cos(ln 2) + isin(ln 2)