6) Вычислите устно: 1) \(\frac{3^4\cdot3^3}{3^7}\); 2) \(\frac{3^8}{3^4\cdot3^2}\); 3) \(\frac{81\cdot3^5}{3^8}\); 4) \(\frac{3^6}{9\cdot27}\).

1. \(\frac{3^4\cdot3^3}{3^7}=\frac{3^7}{3^7}=1\).
2. \(\frac{3^8}{3^4\cdot3^2}=3^{8-4-2}=3^2=9\).
3. \(\frac{81\cdot3^5}{3^8}=\frac{3^4\cdot3^5}{3^8}=3=3\).
4. \(\frac{3^6}{9\cdot27}=\frac{3^6}{3^2\cdot3^3}=3^{6-2-3}=3\).

Ответ: 1) 1; 2) 9; 3) 3; 4) 3.