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Exp




Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Transformations > Multiple arguments > Argument involving symbolic multiples of variable





http://functions.wolfram.com/01.03.16.0090.01









  


  








Input Form





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








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["n", " ", "x"]]], "\[Equal]", SuperscriptBox[RowBox[List["(", SuperscriptBox["\[ExponentialE]", "x"], ")"]], "n"]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[Or]", RowBox[List["x", "\[Element]", "Reals"]]]]]]]]








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> <mi> &#8519; </mi> <mrow> <mi> n </mi> <mo> &#8290; </mo> <mi> x </mi> </mrow> </msup> <mo> &#10869; </mo> <msup> <mrow> <mo> ( </mo> <msup> <mi> &#8519; </mi> <mi> x </mi> </msup> <mo> ) </mo> </mrow> <mi> n </mi> </msup> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> n </mi> <mo> &#8712; </mo> <semantics> <mi> &#8484; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalZ]&quot;, Function[Integers]] </annotation> </semantics> </mrow> <mo> &#8744; </mo> <mrow> <mi> x </mi> <mo> &#8712; </mo> <semantics> <mi> &#8477; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalR]&quot;, Function[Reals]] </annotation> </semantics> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <power /> <exponentiale /> <apply> <times /> <ci> n </ci> <ci> x </ci> </apply> </apply> <apply> <power /> <apply> <power /> <exponentiale /> <ci> x </ci> </apply> <ci> n </ci> </apply> </apply> <apply> <or /> <apply> <in /> <ci> n </ci> <integers /> </apply> <apply> <in /> <ci> x </ci> <reals /> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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


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





2001-10-29