Question

Сократите дробь пжл.

Answer 1

$\frac{ {900}^{n} }{ {5}^{2n + 3} \times {6}^{2n - 3} } = \frac{ {25}^{n} \times {36}^{n} }{ {5}^{2n + 3} \times {6}^{2n - 3} } = \frac{ {5}^{2n} \times {6}^{2n} }{ {5}^{2n + 3} \times {6}^{2n - 3} } = {5}^{2n - (2n + 3)} \times {6}^{2n - (2n - 3)} = {5}^{2n - 2n - 3} \times {6}^{2n - 2n + 3} = {5}^{ - 3} \times {6}^{3} = \frac{216}{125}$