(8*100^n) / 2^(2n+2)*5^(2n-2) = (2³ * 2^2n * 5^2n) / 2^(2n+2)*5^(2n-2) =
= (2^(3+2n)*5^2n / 2^(2n+2)*5^(2n-2) = 2^(3+2n-2n-2)*5^(2n-2n+2) =
= 2 * 5² = 2 * 25 = 50
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(8*100^n) / 2^(2n+2)*5^(2n-2) = (2³ * 2^2n * 5^2n) / 2^(2n+2)*5^(2n-2) =
= (2^(3+2n)*5^2n / 2^(2n+2)*5^(2n-2) = 2^(3+2n-2n-2)*5^(2n-2n+2) =
= 2 * 5² = 2 * 25 = 50
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Вот, с подробным решением