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

*To*: mathgroup at christensen.cybernetics.net*Subject*: [mg566] Re: [mg557] (-1)^(3/4) -> (-1+I)/Sqrt[2]*From*: bob at zim.uoregon.edu (Robert Zimmerman)*Date*: Sat, 18 Mar 95 15:48:03 -0800

Question 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, One possible solution, rule=(- 1)^p_:> (Cos[ p Pi]+I Sin[p Pi] ) test = (- 1 )^(3/4) test /.rule (-1)^(p_) :> Cos[p*Pi] + I*Sin[p*Pi] (-1)^(3/4) (-1 + I)/2^(1/2) Robert L. Zimmerman Institute of Theoretical Science University of Oregon Eugene Oregon 97403