Imaginary but real

Algebra Level 4

10000(ii)=? \huge \lfloor\: 10000\: \cdot \:(i^{i}) \rfloor \: = \: ?

Note: i=1 i = \sqrt{-1} Important: Of the infinite number of values that ii i^{i} can take, find the one with greatest modulus less than 1."

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