Математика. Подготовка к ЕГЭ
Задачи B11 c ответами

Преобразование выражений

1. \(\displaystyle(5\frac{3}{5}-2,8):0,8\)

2. \(\displaystyle(7\frac{1}{2}-\frac{3}{8})\cdot 25,6\)

3. \(\displaystyle(4\frac{1}{2}+\frac{2}{3})\cdot 0,24\)
4. \(\displaystyle(2\frac{1}{3}+1\frac{3}{8})\cdot 12\)
5. \(\displaystyle(1\frac{4}{5}+5\frac{2}{3})\cdot 468, 75\)
6. \(\displaystyle(-2\frac{3}{5}-\frac{5}{8})\cdot 0,4\)
7. \(\displaystyle(-3\frac{2}{5}-1\frac{3}{7})\cdot 437,5\)
8. \(\displaystyle(-2\frac{1}{9}-2\frac{5}{6})\cdot 17,28\)
9. \(\displaystyle(-\frac{5}{6}-1\frac{3}{8})\cdot 38,4\)
10. \(\displaystyle(\frac{7}{8}+\frac{7}{9})\cdot 5,76\)
11. \((5x-15)(5x+15)-25x^2+10x-10\) при x = 130
12. \((2x-18)(2x+18)-4x^2-7x+48\) при х = 110
13. \((5x-9)(5x+9)-25x^2-4x-19\) при x = 100
14. \((5x-16)(5x+16)-25x^2-29\) при x = 120
15. \(-4x^2+(2x-7)(2x+7)-45\) при х = 140
16. \(x+(6x-13)(13+6x)-37-36x^2\) при х = 50
17. \((-20+4x)(20+4x)-16x^2+11-7x\) при х = 60
18. \(-10x+(17+10x)(-17-6x-4x)-5-100x^2\) при х = 130
19. \(x+49-4x^2+(11+2x)(-x-11+3x)\) при х =60
20. \(-81x^2+3(1+3x)(9x-3)-39\) при х = 80
21. \(5^9\cdot 2^8:10^7\)
22. \(7^2\cdot 3^7:21^2\)
23. \(2^8\cdot 25^8:50^6\)
24. \(2^4\cdot 7^3:14^2\)
25. \(2^7\cdot 25^3:50^2\)
26. \(9^8\cdot 4^{11}:36^7\)
27. \(2^9\cdot 5^{11}:10^9\)
28. \(11^7\cdot 2^{12}:22^7\)
29. \(9^8\cdot 25^7:225^6\)
30. \(49^8\cdot 4^9:196^7\)
31. \(\sqrt{936^2-864^2}\)
32. \(\sqrt{325^2-300^2}\)
33. \(\sqrt{772^2-380^2}\)
34. \(\sqrt{137^2-88^2}\)
35. \(\sqrt{80^2-48\cdot48}\)
36. \(\sqrt{445\cdot 445-396^2}\)
37. \(8^{\sqrt{8}+6}\cdot8^{-5-\sqrt{8}}\)
38. \(7^{\sqrt{5}+9}\cdot7^{-4-\sqrt{5}}\)
39. \(9^{\sqrt{2}+6}\cdot 9^{-1-\sqrt{2}}\)
40. \(2^{\sqrt{5}+2}\cdot 2^{-1-\sqrt{5}}\)
41. \(\displaystyle\frac{x\cdot x^{-5}}{x^{-7}}\) при х = 6
42. \(\displaystyle\frac{x^{5}\cdot x^{-8}}{x^{-5}}\) при х = 7
43. \(\displaystyle\frac{x^{16}\cdot x^{5}}{x^{20}}\) при х = 2
44. \(\displaystyle\frac{x^{-19}\cdot x^{2}}{x^{-18}}\) при х = 5
45. \(\displaystyle\frac{x^{-12}\cdot x^{9}}{x^{-5}}\) при х = 7
46. \(\displaystyle\frac{x^{-13}}{ x^{2}\cdot x^{-18}}\) при х = 4

Ответы

1. 3,5
2. 182,4
3. 1,24
4. 44,5
5. 3500
6. -1,29
7. -2112,5
8. -85,44
9. -84,8
10. 9,52
11. 1065
12. -1046
13. -500
14. -285
15. -94
16. -156
17. -809
18. -1594
19. -12
20. -48
21. 50
22. 243
23. 2500
24. 28
25. 800
26. 2304
27. 25
28. 32
29. 2025
30. 784
31. 360
32. 125
33. 672
34. 105
35. 64
36. 203
37. 8
38. 16807
39. 59049
40. 2
41. 216
42. 49
43. 2
44. 5
45. 49
46. 64