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 The Powers that Be (Posted on 2003-11-25)
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)

 Subject Author Date Possible real Praneeth 2007-09-12 02:50:08 re: solution kannan 2004-06-21 08:04:20 re(5): solution Richard 2003-11-27 18:58:30 re(4): solution Tristan 2003-11-27 13:52:19 re: What's a complex number? Richard 2003-11-27 00:32:18 re(3): solution Richard 2003-11-26 23:20:02 re(2): solution Tristan 2003-11-26 19:31:01 re: solution Richard 2003-11-26 19:00:29 re(3): example of said case Tristan 2003-11-26 18:13:58 solution luminita 2003-11-26 15:09:01 What's a complex number? Charlie 2003-11-26 08:11:21 re(3): example of said case Richard 2003-11-25 22:56:42 re(2): example of said case SilverKnight 2003-11-25 20:15:05 re: example of said case Tristan 2003-11-25 19:02:43 solution Richard 2003-11-25 18:53:12 solution Charlie 2003-11-25 13:56:11 example of said case SilverKnight 2003-11-25 13:32:36 Further elaboration Federico Kereki 2003-11-25 13:23:55 Short solution? Federico Kereki 2003-11-25 13:23:15

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