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Associer des calculs exploitant les propriétés relatives aux opérations sur les puissances à leur écriture sous la forme d'une puissance de 10    ressource 3468

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

10 0 TagBox[SuperscriptBox["10", TagBox["0", HoldForm]], HoldForm] 10 21 TagBox[SuperscriptBox["10", TagBox["21", HoldForm]], HoldForm] 10 - 2 TagBox[SuperscriptBox["10", TagBox[RowBox[List["-", "2"]], HoldForm]], HoldForm] 10 10 TagBox[SuperscriptBox["10", TagBox["10", HoldForm]], HoldForm] 10 30 TagBox[SuperscriptBox["10", TagBox["30", HoldForm]], HoldForm]
A 1 = 10 2 × 100 - 2 TagBox[RowBox[List[TagBox[SuperscriptBox[TagBox["10", HoldForm], TagBox["2", HoldForm]], HoldForm], " ", TagBox[SuperscriptBox[TagBox["100", HoldForm], TagBox[RowBox[List["-", "2"]], HoldForm]], HoldForm]]], HoldForm]
A 2 = 1 ( 1 10 ) - 2 10 - 2 TagBox[FractionBox[TagBox[FractionBox["1", TagBox[SuperscriptBox[RowBox[List["(", TagBox[FractionBox["1", "10"], HoldForm], ")"]], TagBox[RowBox[List["-", "2"]], HoldForm]], HoldForm]], HoldForm], TagBox[SuperscriptBox[TagBox["10", HoldForm], TagBox[RowBox[List["-", "2"]], HoldForm]], HoldForm]], HoldForm]
A 3 = ( 1 10 ) - 5 100 - 4 × ( 1 100 ) - 4 TagBox[RowBox[List[TagBox[FractionBox[TagBox[SuperscriptBox[RowBox[List["(", TagBox[FractionBox["1", "10"], HoldForm], ")"]], TagBox[RowBox[List["-", "5"]], HoldForm]], HoldForm], TagBox[SuperscriptBox[TagBox["100", HoldForm], TagBox[RowBox[List["-", "4"]], HoldForm]], HoldForm]], HoldForm], " ", TagBox[SuperscriptBox[RowBox[List["(", TagBox[FractionBox["1", "100"], HoldForm], ")"]], TagBox[RowBox[List["-", "4"]], HoldForm]], HoldForm]]], HoldForm]
A 4 = 1 100 4 ( 1 100 ) 4 100 - 5 TagBox[FractionBox[TagBox[FractionBox[TagBox[FractionBox["1", TagBox[SuperscriptBox[TagBox["100", HoldForm], TagBox["4", HoldForm]], HoldForm]], HoldForm], TagBox[SuperscriptBox[RowBox[List["(", TagBox[FractionBox["1", "100"], HoldForm], ")"]], TagBox["4", HoldForm]], HoldForm]], HoldForm], TagBox[SuperscriptBox[TagBox["100", HoldForm], TagBox[RowBox[List["-", "5"]], HoldForm]], HoldForm]], HoldForm]
A 5 = ( 1 ( 1 100 ) 3 ) 5 TagBox[SuperscriptBox[RowBox[List["(", TagBox[FractionBox["1", TagBox[SuperscriptBox[RowBox[List["(", TagBox[FractionBox["1", "100"], HoldForm], ")"]], TagBox["3", HoldForm]], HoldForm]], HoldForm], ")"]], "5"], HoldForm]