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Complex Numbers

 
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songul



Joined: 23 Jun 2007
Posts: 2

PostPosted: Sat Jun 23, 2007 8:24 pm    Post subject: Complex Numbers Reply with quote

what is the answer to this problem?', 'Today, we learnt about complex numbers. One of our problems was what is i raised to the power i. Any answers?
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hepcj
Site Admin


Joined: 23 Jun 2007
Posts: 125

PostPosted: Sat Jun 23, 2007 8:27 pm    Post subject: Re: Complex Numbers Reply with quote

Well one way is to convert i into exponential form. The equation that relates the exponent is
exp(i pi)=-1
Then i, the square root of -1, is (-1^0.5) = exp(i pi/2)
Therefore, i^i = exp(i pi/2)^i = exp(-pi/2)
Numerically, exp(-pi/2) = 0.20788.
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