Задание 16. Найдите значение выражения: 1. $$5^{-7} \cdot (5^5)^2$$ 2. $$2^{-7} \cdot (2^4)^3$$ 3. $$9^{-6} \cdot (9^2)^4$$ 4. $$3^{-8} \cdot (3^6)^2$$ 5. $$2^{-9} \cdot (2^7)^2$$ 6. $$11^{-5} \cdot (11^3)^2$$

**Решение:**

1. $$5^{-7} \cdot (5^5)^2 = 5^{-7} \cdot 5^{10} = 5^{-7+10} = 5^3 = 125$$
2. $$2^{-7} \cdot (2^4)^3 = 2^{-7} \cdot 2^{12} = 2^{-7+12} = 2^5 = 32$$
3. $$9^{-6} \cdot (9^2)^4 = 9^{-6} \cdot 9^{8} = 9^{-6+8} = 9^2 = 81$$
4. $$3^{-8} \cdot (3^6)^2 = 3^{-8} \cdot 3^{12} = 3^{-8+12} = 3^4 = 81$$
5. $$2^{-9} \cdot (2^7)^2 = 2^{-9} \cdot 2^{14} = 2^{-9+14} = 2^5 = 32$$
6. $$11^{-5} \cdot (11^3)^2 = 11^{-5} \cdot 11^{6} = 11^{-5+6} = 11^1 = 11$$

**Ответ:**
1. 125
2. 32
3. 81
4. 81
5. 32
6. 11