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 EulerPhi

 http://functions.wolfram.com/13.06.17.0002.01

 Input Form

 EulerPhi[n^k] == EulerPhi[n] n^(k - 1) /; Element[n, Integers] && n > 0 && Element[k, Integers] && k > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["EulerPhi", "[", SuperscriptBox["n", "k"], "]"]], "\[Equal]", RowBox[List[RowBox[List["EulerPhi", "[", "n", "]"]], " ", SuperscriptBox["n", RowBox[List["k", "-", "1"]]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", ">", "0"]], "\[And]", RowBox[List["k", "\[Element]", "Integers"]], "\[And]", RowBox[List["k", ">", "0"]]]]]]]]

 MathML Form

 ϕ TagBox["\[Phi]", EulerPhi] ( n k ) ϕ TagBox["\[Phi]", EulerPhi] ( n ) n k - 1 /; n + k + Condition EulerPhi n k EulerPhi n n k -1 n SuperPlus k SuperPlus [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EulerPhi", "[", SuperscriptBox["n_", "k"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["EulerPhi", "[", "n", "]"]], " ", SuperscriptBox["n", RowBox[List["k", "-", "1"]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]], "&&", RowBox[List["k", "\[Element]", "Integers"]], "&&", RowBox[List["k", ">", "0"]]]]]]]]]]

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

 2001-10-29