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Power




Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Transformations > Products, sums, and powers of the direct function > Products of the direct function





http://functions.wolfram.com/01.02.16.0112.01









  


  








Input Form





Subscript[z, 1]^Subscript[a, 1] Subscript[z, 2]^Subscript[a, 2] == E^(Subscript[a, 1] Log[Subscript[z, 1]] + Subscript[a, 2] Log[Subscript[z, 2]])








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[SubsuperscriptBox["z", "1", SubscriptBox["a", "1"]], SubsuperscriptBox["z", "2", SubscriptBox["a", "2"]]]], "\[Equal]", SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List[SubscriptBox["a", "1"], " ", RowBox[List["Log", "[", SubscriptBox["z", "1"], "]"]]]], "+", RowBox[List[SubscriptBox["a", "2"], " ", RowBox[List["Log", "[", SubscriptBox["z", "2"], "]"]]]]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msubsup> <mi> z </mi> <mn> 1 </mn> <msub> <mi> a </mi> <mn> 1 </mn> </msub> </msubsup> <mo> &#8290; </mo> <msubsup> <mi> z </mi> <mn> 2 </mn> <msub> <mi> a </mi> <mn> 2 </mn> </msub> </msubsup> </mrow> <mo> &#63449; </mo> <msup> <mi> &#8519; </mi> <mrow> <mrow> <mrow> <mi> log </mi> <mo> &#8289; </mo> <mo> ( </mo> <msub> <mi> z </mi> <mn> 1 </mn> </msub> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msub> <mi> a </mi> <mn> 1 </mn> </msub> </mrow> <mo> + </mo> <mrow> <mrow> <mi> log </mi> <mo> &#8289; </mo> <mo> ( </mo> <msub> <mi> z </mi> <mn> 2 </mn> </msub> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msub> <mi> a </mi> <mn> 2 </mn> </msub> </mrow> </mrow> </msup> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <times /> <apply> <power /> <apply> <ci> Subscript </ci> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <apply> <ci> Subscript </ci> <ci> a </ci> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <power /> <apply> <ci> Subscript </ci> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> <apply> <ci> Subscript </ci> <ci> a </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <power /> <exponentiale /> <apply> <plus /> <apply> <times /> <apply> <ln /> <apply> <ci> Subscript </ci> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <ci> Subscript </ci> <ci> a </ci> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <times /> <apply> <ln /> <apply> <ci> Subscript </ci> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <ci> Subscript </ci> <ci> a </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubsuperscriptBox["z_", "1", SubscriptBox["a_", "1"]], " ", SubsuperscriptBox["z_", "2", SubscriptBox["a_", "2"]]]], "]"]], "\[RuleDelayed]", SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List[SubscriptBox["aa", "1"], " ", RowBox[List["Log", "[", SubscriptBox["zz", "1"], "]"]]]], "+", RowBox[List[SubscriptBox["aa", "2"], " ", RowBox[List["Log", "[", SubscriptBox["zz", "2"], "]"]]]]]]]]]]]


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





2007-05-02