Вычисление выражений:

1. a) $$\left(-\frac{3}{2}\right)^3 + \left(1\frac{1}{4}\right)^2 = \left(-\frac{27}{8}\right) + \left(\frac{5}{4}\right)^2 = -\frac{27}{8} + \frac{25}{16} = \frac{-54 + 25}{16} = -\frac{29}{16} = -1\frac{13}{16}$$
2. b) Нет условия.
3. c) Нет условия.
4. d) $$\left(2\frac{1}{7}\right)^5 \cdot \left(\frac{7}{15}\right)^5 = \left(\frac{15}{7}\right)^5 \cdot \left(\frac{7}{15}\right)^5 = \left(\frac{15}{7} \cdot \frac{7}{15}\right)^5 = 1^5 = 1$$
5. e) $$15^5 : (7,5)^5 = \left(\frac{15}{7,5}\right)^5 = 2^5 = 32$$
6. f) $$\frac{5^6 \cdot 125}{25^4} = \frac{5^6 \cdot 5^3}{(5^2)^4} = \frac{5^9}{5^8} = 5^{9-8} = 5^1 = 5$$

Ответ:

• a) $$-1\frac{13}{16}$$
• d) $$1$$
• e) $$32$$
• f) $$5$$