Решение:

• a) $$ \frac{8^6}{8^4} = 8^{6-4} = 8^2 = 64 $$
• б) $$ \frac{0,8^7}{0,8^4} = 0,8^{7-4} = 0,8^3 = 0,8 \times 0,8 \times 0,8 = 0,512 $$
• в) $$ \frac{(-0,3)^5}{(-0,3)^3} = (-0,3)^{5-3} = (-0,3)^2 = 0,09 $$
• г) $$ \frac{(1 \frac{1}{2})^4}{(1 \frac{1}{2})^2} = (1 \frac{1}{2})^{4-2} = (1 \frac{1}{2})^2 = (\frac{3}{2})^2 = \frac{9}{4} = 2 \frac{1}{4} = 2,25 $$
• д) $$ \frac{(-2 \frac{1}{3})^9}{(-2 \frac{1}{3})^3} = (-2 \frac{1}{3})^{9-3} = (-2 \frac{1}{3})^6 = (-(2 + \frac{1}{3}))^6 = (-( \frac{6}{3} + \frac{1}{3}))^6 = (-\frac{7}{3})^6 = (\frac{7}{3})^6 = \frac{7^6}{3^6} = \frac{117649}{729} = 161 \frac{220}{729} $$

Ответ:

• a) 64
• б) 0,512
• в) 0,09
• г) $$2 \frac{1}{4} = 2,25$$
• д) $$161 \frac{220}{729}$$