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Exp




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.03.16.0094.01









  


  








Input Form





(E^z)^n == E^(n z) /; Element[z, Reals] || Element[n, Integers]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["(", SuperscriptBox["\[ExponentialE]", "z"], ")"]], "n"], "\[Equal]", SuperscriptBox["\[ExponentialE]", RowBox[List["n", " ", "z"]]]]], "/;", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "\[Or]", RowBox[List["n", "\[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> <msup> <mrow> <mo> ( </mo> <msup> <mi> &#8519; </mi> <mi> z </mi> </msup> <mo> ) </mo> </mrow> <mi> n </mi> </msup> <mo> &#10869; </mo> <msup> <mi> &#8519; </mi> <mrow> <mi> n </mi> <mo> &#8290; </mo> <mi> z </mi> </mrow> </msup> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> z </mi> <mo> &#8712; </mo> <semantics> <mi> &#8477; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalR]&quot;, Function[Reals]] </annotation> </semantics> </mrow> <mo> &#8744; </mo> <mrow> <mi> n </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> <power /> <apply> <power /> <exponentiale /> <ci> z </ci> </apply> <ci> n </ci> </apply> <apply> <power /> <exponentiale /> <apply> <times /> <ci> n </ci> <ci> z </ci> </apply> </apply> </apply> <apply> <or /> <apply> <in /> <ci> z </ci> <reals /> </apply> <apply> <in /> <ci> n </ci> <integers /> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["(", SuperscriptBox["\[ExponentialE]", "z_"], ")"]], "n_"], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["n", " ", "z"]]], "/;", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "||", RowBox[List["n", "\[Element]", "Integers"]]]]]]]]]]


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





2001-10-29