Question

Сократите дробь.....

Answer 1

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