Question

Сократите дробь (фото)

Answer 1

$\frac{ {50}^{n} }{ {5}^{2n - 1} \times {2}^{n - 1} } = \frac{ {25}^{n} \times {2}^{n} }{ {5}^{2n - 1} \times {2}^{n - 1} } = \frac{ {5}^{2n} \times {2}^{n} }{ {5}^{2n - 1} \times {2}^{n - 1} } = {5}^{2n - (2n - 1)} \times {2}^{n - (n - 1)} = {5}^{1} \times {2}^{1} = 10$