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October Surprise 2024

What is the value of $1^i$? – Mathematics Stack Exchange

${1}^{x}=1$ is not part of the definition of complex exponentiation, although it is an immediate consequence of the definition of natural number exponentiation. A second point that can be confusing is that the function ez e z ${e}^{z}$ used above is really the complex exponential function exp(z) exp (z)