Question 1083007
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Are you sure you meant


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(1\ -\ \sqrt{3i}\right)^6]


and not


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(1\ -\ i\sqrt{3}\right)^6]


If the imaginary unit is inside of the radical, then this is a much more complicated problem.


I suspect you meant the form with the imaginary unit outside of the radical, but I'm not going to guess.  You have to verify.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  

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