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http://functions.wolfram.com/01.03.03.0203.01
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E^((1/10) I (19 Pi)) == -(-1)^(9/10)
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Cell[BoxData[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[FractionBox["1", "10"], " ", "\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["19", " ", "\[Pi]"]], ")"]]]]], "\[Equal]", RowBox[List["-", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["9", "/", "10"]]]]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <msup> <mi> ⅇ </mi> <mfrac> <mrow> <mn> 19 </mn> <mo> ⁢ </mo> <mi> π </mi> <mo> ⁢ </mo> <mi> ⅈ </mi> </mrow> <mn> 10 </mn> </mfrac> </msup> <mo> ⩵ </mo> <mrow> <mo> - </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mrow> <mn> 9 </mn> <mo> / </mo> <mn> 10 </mn> </mrow> </msup> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> 19 </cn> <pi /> <imaginaryi /> <apply> <power /> <cn type='integer'> 10 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 9 <sep /> 10 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox["\[ExponentialE]", RowBox[List[FractionBox["1", "10"], " ", "\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["19", " ", "\[Pi]"]], ")"]]]]], "]"]], "\[RuleDelayed]", RowBox[List["-", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["9", "/", "10"]]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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