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    0^(a+bi) | 
  2020-12-03 | 
   
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  From Douglas: I realize raising 0^a = 0 if a>0 and undefined if a<=0.
  
If have read that 0^bi is undefined for all b.
  
What I don't understand is why 0^(a+bi) = 0 if a and b are not equal to zero.
  
Is this purely by definition or is there a logical reason why this is the case? 
(I have taken Complex Analysis, so have a fairly good understanding of complex numbers.) Answered by Penny Nom. | 
   
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