[tex]\displaystyle0,01^n*10^{2-2n}=\bigg(\frac{1}{10^2}\bigg)^n*10^{2-2n}=10^{-2n}*10^{2-2n}=10^{-2n+2-2n}=10^{-4n+2}. [/tex]
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[tex]\displaystyle0,01^n*10^{2-2n}=\bigg(\frac{1}{10^2}\bigg)^n*10^{2-2n}=10^{-2n}*10^{2-2n}=10^{-2n+2-2n}=10^{-4n+2}. [/tex]