The discussion confirms that it is valid to express a real number raised to a complex exponent, represented as ##r^c## where ##r \in R/e## and ##c \in C##. This is achieved through the relationship ##r = e^{\ln{r}}##, allowing the computation of complex powers using the exponential function. The formula ##r^c = e^{c \log(r)}## illustrates this concept, with the example of ##i^i = e^{i \log{i}} = e^{i (\frac{\pi}{2} i)} = e^{- \frac{\pi}{2}}## demonstrating that a complex number raised to a complex power can yield a real result.
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