Вычислите: \(\frac{4^2 \cdot 16^5}{64^8}\).

8. \(\frac{4^2 \cdot 16^5}{64^8} = \frac{4^2 \cdot (4^2)^5}{(4^3)^8} = \frac{4^2 \cdot 4^{10}}{4^{24}} = 4^{2+10-24} = 4^{-12} = \frac{1}{4^{12}}\).