Вопрос:

1) (1/2)⁵ + 29/32; 2) (−1/3)³ + 22/27; 3) (2/5)² + 11/25; 4) (1,2)² + 2,06; 5) (0,4)⁴ − 1; 6) 20 − (1,4)².

Ответ:

  1. \(\left(\frac{1}{2}\right)^5+\frac{29}{32}=\frac{1}{32}+\frac{29}{32}=\frac{30}{32}=\frac{15}{16}\).
  2. \(\left(-\frac{1}{3}\right)^3+\frac{22}{27}=-\frac{1}{27}+\frac{22}{27}=\frac{21}{27}=\frac{7}{9}\).
  3. \(\left(\frac{2}{5}\right)^2+\frac{11}{25}=\frac{4}{25}+\frac{11}{25}=\frac{15}{25}=\frac{3}{5}\).
  4. \((1.2)^2+2.06=1.44+2.06=3.5\).
  5. \((0.4)^4-1=0.0256-1=-0.9744\).
  6. \(20-(1.4)^2=20-1.96=18.04\).

Ответ: 1) \(\frac{15}{16}\); 2) \(\frac{7}{9}\); 3) \(\frac{3}{5}\); 4) 3,5; 5) −0,9744; 6) 18,04.