Question

Сократите дробь.....

Answer 1

$=\frac{900^n}{5^{2n+3} \cdot 6^{2n-3}} = \frac{(30^2)^n}{5^{2n}\cdot 5^3 \cdot 6^{2n} \cdot 6^{-3}}=\frac{30^{2n} \cdot 6^3}{(5\cdot6)^{2n}\cdot 5^3}=\frac{30^{2n}}{30^{2n}} \cdot \left ( \frac{6}{5} \right )^3=1,2^3$