# Imaginary but real

Algebra Level 4

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

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

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