Conjugate[z^a] == (1/Conjugate[z])^(-Conjugate[a])

Cell[BoxData[RowBox[List[RowBox[List["Conjugate", "[", SuperscriptBox["z", "a"], "]"]], "\[Equal]", SuperscriptBox[RowBox[List["(", FractionBox["1", RowBox[List["Conjugate", "[", "z", "]"]]], ")"]], RowBox[List["-", RowBox[List["Conjugate", "[", "a", "]"]]]]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mover> <msup> <mi> z </mi> <mi> a </mi> </msup> <mo> _ </mo> </mover> <mo> &#10869; </mo> <msup> <mrow> <mo> ( </mo> <mfrac> <mn> 1 </mn> <mover> <mi> z </mi> <mo> _ </mo> </mover> </mfrac> <mo> ) </mo> </mrow> <mrow> <mo> - </mo> <mover> <mi> a </mi> <mo> _ </mo> </mover> </mrow> </msup> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> OverBar </ci> <apply> <power /> <ci> z </ci> <ci> a </ci> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <ci> OverBar </ci> <ci> z </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ci> OverBar </ci> <ci> a </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Conjugate", "[", SuperscriptBox["z_", "a_"], "]"]], "]"]], "\[RuleDelayed]", SuperscriptBox[RowBox[List["(", FractionBox["1", RowBox[List["Conjugate", "[", "z", "]"]]], ")"]], RowBox[List["-", RowBox[List["Conjugate", "[", "a", "]"]]]]]]]]]

2007-05-02