60. Найдите значение выражения: 1) 0,5⁸ ⋅ 2⁸; 2) 2⁵ ⋅ 5⁵; 3) (1/3)⁶ ⋅ 6⁶; 4) 0,125⁹ ⋅ 8⁹; 5) (7/9)¹¹ ⋅ (9/16)¹¹; 6) 0,25²⁰ ⋅ 4¹⁸.

Решим данные выражения:

1. $$0.5^8 \cdot 2^8 = (0.5 \cdot 2)^8 = 1^8 = 1$$
2. $$2^5 \cdot 5^5 = (2 \cdot 5)^5 = 10^5 = 100000$$
3. $$(\frac{1}{3})^6 \cdot 6^6 = (\frac{1}{3} \cdot 6)^6 = (\frac{6}{3})^6 = 2^6 = 64$$
4. $$0.125^9 \cdot 8^9 = (0.125 \cdot 8)^9 = 1^9 = 1$$
5. $$(\frac{7}{9})^{11} \cdot (\frac{9}{16})^{11} = (\frac{7}{9} \cdot \frac{9}{16})^{11} = (\frac{7}{16})^{11}$$
6. $$0.25^{20} \cdot 4^{18} = 0.25^2 \cdot (0.25 \cdot 4)^{18} = (0.25)^2 \cdot 1^{18} = (\frac{1}{4})^2 = \frac{1}{16} = 0.0625$$

Ответ: 1; 100000; 64; 1; (7/16)¹¹; 0.0625