4. Вычислите: 1) ((7⁻¹¹)²)/(7⁻²³); 2) 3⁻¹¹ · (3⁵)²; 3) (8⁻⁶ · 8⁻⁷)/(8⁻¹²); 4) (7 · 10³)² · (16 · 10⁻⁴); 5) (2⁻⁷ · 2¹⁷)/2⁸; 6) ((6²)⁻⁹)/(6⁻²⁰); 7) 7⁻⁶ · (7²)⁴; 8) (6¹² · 11¹⁰)/(66¹⁰).

1. \[\frac{(7^{-11})^2}{7^{-23}}=\frac{7^{-22}}{7^{-23}}=7.\]
2. \[3^{-11}\cdot(3^5)^2=3^{-11}\cdot3^{10}=3^{-1}=\frac13.\]
3. \[\frac{8^{-6}\cdot8^{-7}}{8^{-12}}=8^{-13-(-12)}=8^{-1}=\frac18.\]
4. \[(7\cdot10^3)^2\cdot(16\cdot10^{-4})=49\cdot10^6\cdot16\cdot10^{-4}=78400.\]
5. \[\frac{2^{-7}\cdot2^{17}}{2^8}=2^{10-8}=2^2=4.\]
6. \[\frac{(6^2)^{-9}}{6^{-20}}=\frac{6^{-18}}{6^{-20}}=6^2=36.\]
7. \[7^{-6}\cdot(7^2)^4=7^{-6}\cdot7^8=7^2=49.\]
8. \[\frac{6^{12}\cdot11^{10}}{66^{10}}=\frac{6^{12}\cdot11^{10}}{(6\cdot11)^{10}}=6^2=36.\]

Ответ: 1) 7; 2) 1/3; 3) 1/8; 4) 78400; 5) 4; 6) 36; 7) 49; 8) 36.