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 Exp

 http://functions.wolfram.com/01.03.03.0099.01

 Input Form

 E^((9 Pi I)/10) == (-(1/2)) Sqrt[(5 + Sqrt[5])/2] + (1/4) I (-1 + Sqrt[5])

 Standard Form

 Cell[BoxData[RowBox[List[SuperscriptBox["\[ExponentialE]", FractionBox[RowBox[List["9", "\[Pi]", " ", "\[ImaginaryI]"]], "10"]], "\[Equal]", RowBox[List[RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], " ", SqrtBox[FractionBox[RowBox[List["5", "+", SqrtBox["5"]]], "2"]]]], "+", RowBox[List[FractionBox["1", "4"], " ", "\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", SqrtBox["5"]]], ")"]]]]]]]]]]

 MathML Form

 9 π 10 - 1 2 5 + 5 2 + 4 ( 5 - 1 ) 9 10 -1 -1 1 2 5 5 1 2 2 -1 1 2 4 -1 5 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox["\[ExponentialE]", FractionBox[RowBox[List["9", " ", "\[Pi]", " ", "\[ImaginaryI]"]], "10"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], " ", SqrtBox[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["5", "+", SqrtBox["5"]]], ")"]]]]]]], "+", RowBox[List[FractionBox["1", "4"], " ", "\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", SqrtBox["5"]]], ")"]]]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29