Сократите дробь [latex] 2^{2n-1} [/latex] * [latex] 5^{2n+1} [/latex] / [latex] 100^{n} [/latex]

[latex]\displaystyle \frac{2^{2n-1}*5^{2n+1}}{100^n}= \frac{2^{2n}*2^{-1}*5*5^{2n}}{(10^2)^n}= \frac{5*2^{-1}*(2*5)^{2n}}{(2*5)^{2n}}=5*2^{-1}=[/latex] [latex]\displaystyle= \frac{5}{2}=2.5 [/latex]