Вычислите: 1) \(\frac{4^6\cdot 2^8}{32^4}\); 2) \(\left(2\frac{2}{3}\right)^6\cdot\left(\frac{3}{8}\right)^6\).

1. \[\frac{4^6\cdot 2^8}{32^4}=\frac{(2^2)^6\cdot 2^8}{(2^5)^4}=\frac{2^{12}\cdot2^8}{2^{20}}=2^0=1.\]
2. \[\left(2\frac{2}{3}\right)^6\cdot\left(\frac{3}{8}\right)^6=\left(\frac{8}{3}\right)^6\cdot\left(\frac{3}{8}\right)^6=\left(\frac{8}{3}\cdot\frac{3}{8}\right)^6=1^6=1.\]

Ответ: 1) 1; 2) 1.