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The Powers that Be (Posted on 2003-11-25) Difficulty: 4 of 5
Is it possible for two complex numbers to have a real exponentiation?

In other words, if x and y are complex (each have the form a+bi), show that x^y can have a real value, or prove that it is impossible.

Note: i is the imaginary value defined as the number that yields -1 when squared. a and b are any real numbers, but b is not 0.

See The Solution Submitted by DJ    
Rating: 4.4444 (9 votes)

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  Subject Author Date
Possible realPraneeth2007-09-12 02:50:08
Some Thoughtsre: solutionkannan2004-06-21 08:04:20
re(5): solutionRichard2003-11-27 18:58:30
re(4): solutionTristan2003-11-27 13:52:19
re: What's a complex number?Richard2003-11-27 00:32:18
re(3): solutionRichard2003-11-26 23:20:02
re(2): solutionTristan2003-11-26 19:31:01
re: solutionRichard2003-11-26 19:00:29
re(3): example of said caseTristan2003-11-26 18:13:58
Solutionsolutionluminita2003-11-26 15:09:01
What's a complex number?Charlie2003-11-26 08:11:21
re(3): example of said caseRichard2003-11-25 22:56:42
re(2): example of said caseSilverKnight2003-11-25 20:15:05
re: example of said caseTristan2003-11-25 19:02:43
SolutionsolutionRichard2003-11-25 18:53:12
SolutionsolutionCharlie2003-11-25 13:56:11
Solutionexample of said caseSilverKnight2003-11-25 13:32:36
Some ThoughtsFurther elaborationFederico Kereki2003-11-25 13:23:55
QuestionShort solution?Federico Kereki2003-11-25 13:23:15
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