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 Power

 http://functions.wolfram.com/01.02.16.0032.01

 Input Form

 (z^n)^(1/n) == z /; Inequality[-(Pi/n), Less, Arg[z], LessEqual, Pi/n] && Element[n, Integers] && n > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["(", SuperscriptBox["z", "n"], ")"]], RowBox[List["1", "/", "n"]]], "\[Equal]", "z"]], "/;", RowBox[List[RowBox[List[RowBox[List["-", FractionBox["\[Pi]", "n"]]], "<", RowBox[List["Arg", "[", "z", "]"]], "\[LessEqual]", FractionBox["\[Pi]", "n"]]], "\[And]", RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", ">", "0"]]]]]]]]

 MathML Form

 ( z n ) 1 / n z /; - π n < arg ( z ) π n n + TagBox[SuperscriptBox["\[DoubleStruckCapitalN]", "+"], Function[Integers]] Condition z n 1 n -1 z Inequality -1 n -1 z n -1 n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["(", SuperscriptBox["z_", "n_"], ")"]], FractionBox["1", "n_"]], "]"]], "\[RuleDelayed]", RowBox[List["z", "/;", RowBox[List[RowBox[List[RowBox[List["-", FractionBox["\[Pi]", "n"]]], "<", RowBox[List["Arg", "[", "z", "]"]], "\[LessEqual]", FractionBox["\[Pi]", "n"]]], "&&", RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]]]]]]]]]]

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

 2001-10-29