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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/01.02.16.0042.01









  


  








Input Form





Subscript[z, 1]^a Subscript[z, 2]^a == (Subscript[z, 1] Subscript[z, 2])^a /; Subscript[z, 1] + Subscript[z, 2] >= 0 || Element[a, Integers]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[SubsuperscriptBox["z", "1", "a"], " ", SubsuperscriptBox["z", "2", "a"]]], "\[Equal]", SuperscriptBox[RowBox[List["(", RowBox[List[SubscriptBox["z", "1"], " ", SubscriptBox["z", "2"]]], ")"]], "a"]]], " ", "/;", " ", RowBox[List[RowBox[List[RowBox[List[SubscriptBox["z", "1"], "+", SubscriptBox["z", "2"]]], "\[GreaterEqual]", "0"]], "\[Or]", RowBox[List["a", "\[Element]", "Integers"]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <msubsup> <mi> z </mi> <mn> 1 </mn> <mi> a </mi> </msubsup> <mo> &#8290; </mo> <msubsup> <mi> z </mi> <mn> 2 </mn> <mi> a </mi> </msubsup> </mrow> <mo> &#10869; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msub> <mi> z </mi> <mn> 1 </mn> </msub> <mo> &#8290; </mo> <msub> <mi> z </mi> <mn> 2 </mn> </msub> </mrow> <mo> ) </mo> </mrow> <mi> a </mi> </msup> </mrow> <mo> /; </mo> <mrow> <mrow> <mrow> <msub> <mi> z </mi> <mn> 1 </mn> </msub> <mo> + </mo> <msub> <mi> z </mi> <mn> 2 </mn> </msub> </mrow> <mo> &#8805; </mo> <mn> 0 </mn> </mrow> <mo> &#8744; </mo> <mrow> <mi> a </mi> <mo> &#8712; </mo> <semantics> <mi> &#8484; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalZ]&quot;, Function[Integers]] </annotation> </semantics> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <times /> <apply> <power /> <apply> <ci> Subscript </ci> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <ci> a </ci> </apply> <apply> <power /> <apply> <ci> Subscript </ci> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> <ci> a </ci> </apply> </apply> <apply> <power /> <apply> <times /> <apply> <ci> Subscript </ci> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <apply> <ci> Subscript </ci> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <ci> a </ci> </apply> </apply> <apply> <or /> <apply> <geq /> <apply> <plus /> <apply> <ci> Subscript </ci> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <apply> <ci> Subscript </ci> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 0 </cn> </apply> <apply> <in /> <ci> a </ci> <integers /> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubsuperscriptBox["z_", "1", "a_"], " ", SubsuperscriptBox["z_", "2", "a_"]]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[SubscriptBox["zz", "1"], " ", SubscriptBox["zz", "2"]]], ")"]], "a"], "/;", RowBox[List[RowBox[List[RowBox[List[SubscriptBox["zz", "1"], "+", SubscriptBox["zz", "2"]]], "\[GreaterEqual]", "0"]], "||", RowBox[List["a", "\[Element]", "Integers"]]]]]]]]]]


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





2001-10-29