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Re: (-1)^(3/4) -> (-1+I)/Sqrt[2]

• To: mathgroup at christensen.cybernetics.net
• Subject: [mg571] Re: [mg557] (-1)^(3/4) -> (-1+I)/Sqrt[2]
• From: danl (Daniel Lichtblau)
• Date: Sun, 19 Mar 1995 10:19:44 -0600

In[2]:= ComplexExpand[(-1)^(3/4)] // InputForm
Out[2]//InputForm= (-1 + I)/2^(1/2)

  Daniel Lichtblau, WRI


Begin forwarded message:

>Date: Thu, 16 Mar 95 11:21:21 EST
>To: mathgroup at christensen.cybernetics.net
>From: wmm at chem.wayne.edu (Martin McClain)
>Subject: [mg557] (-1)^(3/4) -> (-1+I)/Sqrt[2]
>Content-Length: 268

Does anybody know a core or standard package command that makes
transformations like  (-1)^(3/4) -> (-1+I)/Sqrt[2] ?  I would be  
happy with
a method that works as well as, say,

In[24]:=
E^(-I 3 Pi/4) // ComplexToTrig

Out[24]=
   1    I
(-(-) - -) Sqrt[2]
   2    2