Задание 32. Найдите значение степени:

Решение:

1. \( 2^3 = 2 \cdot 2 \cdot 2 = 8 \)
2. \( 3^3 = 3 \cdot 3 \cdot 3 = 27 \)
3. \( 10^2 = 10 \cdot 10 = 100 \)
4. \( 4^2 = 4 \cdot 4 = 16 \)
5. \( 7^2 = 7 \cdot 7 = 49 \)
6. \( 100^3 = 100 \cdot 100 \cdot 100 = 1000000 \)
7. \( 2^5 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 = 32 \)
8. \( 3^4 = 3 \cdot 3 \cdot 3 \cdot 3 = 81 \)
9. \( 9^3 = 9 \cdot 9 \cdot 9 = 729 \)
10. \( 4^3 = 4 \cdot 4 \cdot 4 = 64 \)
11. \( 1^30 = 1 \)
12. \( 5^3 = 5 \cdot 5 \cdot 5 = 125 \)
13. \( 2^7 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 = 128 \)
14. \( 8^3 = 8 \cdot 8 \cdot 8 = 512 \)
15. \( 0^3 = 0 \)
16. \( 0.5^2 = 0.5 \cdot 0.5 = 0.25 \)
17. \( 0.3^4 = 0.3 \cdot 0.3 \cdot 0.3 \cdot 0.3 = 0.0081 \)
18. \( 0.2^4 = 0.2 \cdot 0.2 \cdot 0.2 \cdot 0.2 = 0.0016 \)
19. \( 0.08^2 = 0.08 \cdot 0.08 = 0.0064 \)
20. \( 0.3^4 = 0.3 \cdot 0.3 \cdot 0.3 \cdot 0.3 = 0.0081 \)
21. \( 0.5^3 = 0.5 \cdot 0.5 \cdot 0.5 = 0.125 \)
22. \( 0.02^3 = 0.02 \cdot 0.02 \cdot 0.02 = 0.000008 \)
23. \( 0.001^2 = 0.001 \cdot 0.001 = 0.000001 \)
24. \( \left( \frac{1}{2} \right)^3 = \frac{1^3}{2^3} = \frac{1}{8} \)
25. \( \left( \frac{1}{9} \right)^2 = \frac{1^2}{9^2} = \frac{1}{81} \)
26. \( \left( \frac{2}{3} \right)^4 = \frac{2^4}{3^4} = \frac{16}{81} \)
27. \( \left( \frac{4}{5} \right)^3 = \frac{4^3}{5^3} = \frac{64}{125} \)
28. \( \left( \frac{1}{10} \right)^4 = \frac{1^4}{10^4} = \frac{1}{10000} \)
29. \( \left( \frac{1}{20} \right)^2 = \frac{1^2}{20^2} = \frac{1}{400} \)
30. \( \left( \frac{7}{100} \right)^3 = \frac{7^3}{100^3} = \frac{343}{1000000} \)
31. \( (-2)^3 = (-2) \cdot (-2) \cdot (-2) = -8 \)
32. \( (-5)^2 = (-5) \cdot (-5) = 25 \)
33. \( (-3)^4 = (-3) \cdot (-3) \cdot (-3) \cdot (-3) = 81 \)
34. \( (-10)^3 = (-10) \cdot (-10) \cdot (-10) = -1000 \)
35. \( (-2)^5 = (-2) \cdot (-2) \cdot (-2) \cdot (-2) \cdot (-2) = -32 \)
36. \( (-7)^2 = (-7) \cdot (-7) = 49 \)
37. \( (-5)^3 = (-5) \cdot (-5) \cdot (-5) = -125 \)
38. \( (-20)^2 = (-20) \cdot (-20) = 400 \)
39. \( \left( \frac{3}{4} \right)^2 = \frac{3^2}{4^2} = \frac{9}{16} \)
40. \( \left( - \frac{5}{7} \right)^2 = \frac{(-5)^2}{7^2} = \frac{25}{49} \)
41. \( \left( - \frac{1}{10} \right)^3 = \frac{(-1)^3}{10^3} = \frac{-1}{1000} \)
42. \( \left( -1 \frac{1}{3} \right)^3 = \left( - \frac{4}{3} \right)^3 = \frac{(-4)^3}{3^3} = \frac{-64}{27} \)
43. \( \left( -2 \frac{1}{2} \right)^3 = \left( - \frac{5}{2} \right)^3 = \frac{(-5)^3}{2^3} = \frac{-125}{8} \)
44. \( \left( -1 \frac{1}{3} \right)^4 = \left( - \frac{4}{3} \right)^4 = \frac{(-4)^4}{3^4} = \frac{256}{81} \)
45. \( \left( -2 \frac{1}{4} \right)^3 = \left( - \frac{9}{4} \right)^3 = \frac{(-9)^3}{4^3} = \frac{-729}{64} \)