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Topic: Zero Powers
Replies: 20   Last Post: Feb 14, 2014 2:45 AM

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Posts: 403
Registered: 4/12/07
Zero Powers
Posted: Feb 11, 2014 5:00 PM
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Hi sci.math.

Doing a physics problem the other day, the answer came out to be 0^i

I think this number is undefined because the exponentiation function
on the complex plane, evaluated at 0 with exponent of square root of
minus one, results in cos(-oo) + i*sin(-oo) which doesn't have a definite
value. Although there may be other ways to evaluate it using various
algebraic rules with complex numbers.

I am curious to see what others think.


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