Understanding I^(-i) and How to Solve for It

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Really struggling with this question on my homework, can anybody help out? According to google the answer is 4.81047738 but I need to know how to get there.

Thanks for your help,
Pete.
 
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Can you rewrite i in polar form using Euler's equation?
 
e^(i.pi/2)?

I feel I'm getting close with some work I've done on paper.
 
You're done. Now put that in for i (the base).
 
Excellent, I've got it.

Thanks for your help neutrino
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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