871. Вычислите: 1) 3² ⋅ rac{1}{6}; 2) 2rac{2}{3} : 2³; 3) (3,1)³ + 2,75; 4) 26 - (2,1)²; 5) (1rac{1}{2})².2³; 6) (2rac{2}{3})³ : (rac{2}{3})².

1) \(3^2 \cdot \frac{1}{6} = 9 \cdot \frac{1}{6} = \frac{9}{6} = \frac{3}{2} = 1,5\) 2) \(2\frac{2}{3} : 2^3 = \frac{8}{3} : 8 = \frac{8}{3} \cdot \frac{1}{8} = \frac{1}{3}\) 3) \((3,1)^3 + 2,75 = 29,791 + 2,75 = 32,541\) 4) \(26 - (2,1)^2 = 26 - 4,41 = 21,59\) 5) \((1\frac{1}{2})^2 \cdot 2^3 = (\frac{3}{2})^2 \cdot 8 = \frac{9}{4} \cdot 8 = \frac{72}{4} = 18\) 6) \((2\frac{2}{3})^3 : (\frac{2}{3})^2 = (\frac{8}{3})^3 : (\frac{2}{3})^2 = \frac{512}{27} : \frac{4}{9} = \frac{512}{27} \cdot \frac{9}{4} = \frac{512}{3} \cdot \frac{1}{4} = \frac{128}{3} = 42\frac{2}{3}\)