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Power




Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Transformations > Related transformations





http://functions.wolfram.com/01.02.16.0046.01









  


  








Input Form





(z^(1/(z - 1)))^z^(z/(z - 1)) == (z^(z/(z - 1)))^z^(1/(z - 1))








Standard Form





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








MathML Form







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










Rule Form





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


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





2001-10-29