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I was just wondering if the rules of exponents still applied to imaginary and complex numbers, like if $(2^4)^i=2^{4i}$ or not and if $(4^i)^i=4^{-1}$, etc

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    Short version: Yes, but you have to be careful.2012-09-15
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    If you write the complex number in polar form $z=re^{i\theta}$ you can see that $(re^{i\theta})^i=re^{i^2\theta}=re^{-\theta}$.2012-09-15
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    Why is $r$ not raised to the $i$ in these comments?2012-09-15

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