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Root to the power of zero
The imaginary unit is a root, for which holds
Explanation
The imaginary unit i is sometimes defined as
This is an obsolete definition, but it is not wrong. You can calculate with it, because
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but this is not the way to calculate with the root from a negative number. You have to write it as
The imaginary unit i itself has no real value. Since every number is also a complex number, it is true for every number a ≠ 0 that a0 = 1.