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[tex]\displaystyle\bf\\0,01^{n} \cdot 10^{2-2n} =(10^{-2} )^{n} \cdot 10^{2-2n} =10^{-2n} \cdot 10^{2-2n} =\\\\=10^{-2n+2-2n} =10^{2-4n}[/tex]