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The faces of 0

Algebra Level 3

\[ \LARGE 0^{i^{2k}} \]

For imaginary unit \(i\), the expression above is a number if:

\(k\) is an even number Only if \(k\) is a positive even number Only if \(k=0\) Only if \(k\) is a non-negative even number

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by David Amato Mantegari

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