320. Вычислите: 1) 100⁵ : 1000²; 2) (3¹⁰ · (3³)⁵) / ((3⁵)⁴ · 3); 3) (4³ · 16²) / 2¹²; 4) 45¹⁰ / (5⁸ · 3¹⁹).

1. \(100^5:1000^2=(10^2)^5:(10^3)^2=10^{10}:10^6=10^4=10000\).

2. \(\dfrac{3^{10}\cdot(3^3)^5}{(3^5)^4\cdot3}=\dfrac{3^{10+15}}{3^{20+1}}=3^4=81\).

3. \(\dfrac{4^3\cdot16^2}{2^{12}}=\dfrac{2^6\cdot2^8}{2^{12}}=2^2=4\).

4. \(\dfrac{45^{10}}{5^8\cdot3^{19}}=\dfrac{3^{20}\cdot5^{10}}{3^{19}\cdot5^8}=3\cdot5^2=75\).

Ответ: 1) 10000; 2) 81; 3) 4; 4) 75.