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Associer des calculs exploitant les propriétés relatives aux opérations sur les puissances à leur écriture sous la forme A=ana est un entier naturel et n un entier relatif    ressource 3465

Associez à chacun des nombres A i (où i est un entier compris entre 1 et 5) le résultat correspondant.

1 2 6 TagBox[FractionBox["1", SuperscriptBox["2", "6"]], HoldForm] 2 0 TagBox[SuperscriptBox["2", "0"], HoldForm] 1 2 11 TagBox[FractionBox["1", SuperscriptBox["2", "11"]], HoldForm] 1 2 4 TagBox[FractionBox["1", SuperscriptBox["2", "4"]], HoldForm] 2 5 TagBox[SuperscriptBox["2", "5"], HoldForm]
A 1 = 1 4 4 2 4 × 4 3 TagBox[RowBox[List[TagBox[FractionBox[TagBox[FractionBox["1", TagBox[SuperscriptBox[TagBox["4", HoldForm], TagBox["4", HoldForm]], HoldForm]], HoldForm], TagBox[SuperscriptBox[TagBox["2", HoldForm], TagBox["4", HoldForm]], HoldForm]], HoldForm], " ", TagBox[SuperscriptBox[TagBox["4", HoldForm], TagBox["3", HoldForm]], HoldForm]]], HoldForm]
A 2 = 1 4 1 4 1 TagBox[FractionBox[TagBox[FractionBox["1", TagBox[SuperscriptBox[TagBox["4", HoldForm], TagBox["1", HoldForm]], HoldForm]], HoldForm], TagBox[SuperscriptBox[TagBox["4", HoldForm], TagBox["1", HoldForm]], HoldForm]], HoldForm]
A 3 = 1 ( 1 4 ) - 4 4 - 1 × ( 1 2 ) 5 TagBox[RowBox[List[TagBox[FractionBox[TagBox[FractionBox["1", TagBox[SuperscriptBox[RowBox[List["(", TagBox[FractionBox["1", "4"], HoldForm], ")"]], TagBox[RowBox[List["-", "4"]], HoldForm]], HoldForm]], HoldForm], TagBox[SuperscriptBox[TagBox["4", HoldForm], TagBox[RowBox[List["-", "1"]], HoldForm]], HoldForm]], HoldForm], " ", TagBox[SuperscriptBox[RowBox[List["(", TagBox[FractionBox["1", "2"], HoldForm], ")"]], TagBox["5", HoldForm]], HoldForm]]], HoldForm]
A 4 = 2 1 × ( 1 2 ) 1 TagBox[RowBox[List[TagBox[SuperscriptBox[TagBox["2", HoldForm], TagBox["1", HoldForm]], HoldForm], " ", TagBox[SuperscriptBox[RowBox[List["(", TagBox[FractionBox["1", "2"], HoldForm], ")"]], TagBox["1", HoldForm]], HoldForm]]], HoldForm]
A 5 = ( 1 2 ) - 2 ( 1 2 ) - 1 ( 1 2 ) 4 TagBox[FractionBox[TagBox[FractionBox[TagBox[SuperscriptBox[RowBox[List["(", TagBox[FractionBox["1", "2"], HoldForm], ")"]], TagBox[RowBox[List["-", "2"]], HoldForm]], HoldForm], TagBox[SuperscriptBox[RowBox[List["(", TagBox[FractionBox["1", "2"], HoldForm], ")"]], TagBox[RowBox[List["-", "1"]], HoldForm]], HoldForm]], HoldForm], TagBox[SuperscriptBox[RowBox[List["(", TagBox[FractionBox["1", "2"], HoldForm], ")"]], TagBox["4", HoldForm]], HoldForm]], HoldForm]