Исходное выражение | | Шаг:1 | | Шаг:2 | | Шаг:3 |
(M^2/5+M^1/2)^10/3 | = | (0.2M^2+M/2)^10/3 | = | (0.2M^2+0.5M)^10/3 | = | (0.2M^2+0.5M)^3.333 | = |
| Шаг:4 | | Шаг:5 |
= | (0.2M^2+0.5M)(0.2M^2+0.5M)(0.2M^2+0.5M) | = | (0.2M^2*(0.2M^2+0.5M)+0.5M*(0.2M^2+0.5M))*(0.2M^2+0.5M) | = |
| Шаг:6 |
= | (0.2M^2*0.2M^2+0.5M*0.2M^2+0.5M*(0.2M^2+0.5M))*(0.2M^2+0.5M) | = |
| Шаг:7 |
= | (0.04M^4+0.5M*0.2M^2+0.5M*(0.2M^2+0.5M))*(0.2M^2+0.5M) | = |
| Шаг:8 |
= | (0.04M^4+0.1M^3+0.5M*(0.2M^2+0.5M))*(0.2M^2+0.5M) | = |
| Шаг:9 |
= | (0.04M^4+0.1M^3+0.2M^2*0.5M+0.5M*0.5M)*(0.2M^2+0.5M) | = |
| Шаг:10 |
= | (0.04M^4+0.1M^3+0.1M^3+0.5M*0.5M)*(0.2M^2+0.5M) | = |
| Шаг:11 |
= | (0.04M^4+0.1M^3+0.1M^3+0.25M^2)*(0.2M^2+0.5M) | = |
| Шаг:12 | | Шаг:13 |
= | (0.04M^4+0.2M^3+0.25M^2)*(0.2M^2+0.5M) | = | 0.04M^4*(0.2M^2+0.5M)+0.2M^3*(0.2M^2+0.5M)+0.25M^2*(0.2M^2+0.5M) | = |
| Шаг:14 |
= | 0.04M^4*0.2M^2+0.04M^4*0.5M+0.2M^3*(0.2M^2+0.5M)+0.25M^2*(0.2M^2+0.5M) | = |
| Шаг:15 |
= | 0.008M^6+0.04M^4*0.5M+0.2M^3*(0.2M^2+0.5M)+0.25M^2*(0.2M^2+0.5M) | = |
| Шаг:16 |
= | 0.008M^6+0.02M^5+0.2M^3*(0.2M^2+0.5M)+0.25M^2*(0.2M^2+0.5M) | = |
| Шаг:17 |
= | 0.008M^6+0.02M^5+0.2M^3*0.2M^2+0.2M^3*0.5M+0.25M^2*(0.2M^2+0.5M) | = |
| Шаг:18 |
= | 0.008M^6+0.02M^5+0.04M^5+0.2M^3*0.5M+0.25M^2*(0.2M^2+0.5M) | = |
| Шаг:19 |
= | 0.008M^6+0.02M^5+0.04M^5+0.1M^4+0.25M^2*(0.2M^2+0.5M) | = |
| Шаг:20 |
= | 0.008M^6+0.06M^5+0.1M^4+0.25M^2*(0.2M^2+0.5M) | = |
| Шаг:21 |
= | 0.008M^6+0.06M^5+0.1M^4+0.25M^2*0.2M^2+0.25M^2*0.5M | = |
| Шаг:22 |
= | 0.008M^6+0.06M^5+0.1M^4+0.05M^4+0.25M^2*0.5M | = |
| Шаг:23 |
= | 0.008M^6+0.06M^5+0.1M^4+0.05M^4+0.125M^3 | = |
| Шаг:24 | | Ответ |
= | 0.008M^6+0.06M^5+0.15M^4+0.125M^3 | = | 0.008M^6+0.06M^5+0.15M^4+0.125M^3 |
Шаг:1. Выполним деление: M^2/5 = 0.2M^2
Шаг:2. Выполним деление: M/2 = 0.5M
Стало: | (0.2M^2+0.5M)^10/3 |
Шаг:3. Выполним деление: 10/3 Результат:3.333
Стало: | (0.2M^2+0.5M)^3.333 |
Шаг:4. Возводим в степень скобку: (0.2M^2+0.5M)^3.333 = (0.2M^2+0.5M)(0.2M^2+0.5M)(0.2M^2+0.5M)
Стало: | (0.2M^2+0.5M)(0.2M^2+0.5M)(0.2M^2+0.5M) |
Шаг:5. Раскрываем скобки (0.2M^2+0.5M)*(0.2M^2+0.5M)=0.2M^2*(0.2M^2+0.5M)+0.5M*(0.2M^2+0.5M)
Стало: | (0.2M^2*(0.2M^2+0.5M)+0.5M*(0.2M^2+0.5M))*(0.2M^2+0.5M) |
Шаг:6. Раскрываем скобки 0.2M^2*(0.2M^2+0.5M)=0.2M^2*0.2M^2+0.5M*0.2M^2
Стало: | (0.2M^2*0.2M^2+0.5M*0.2M^2+0.5M*(0.2M^2+0.5M))*(0.2M^2+0.5M) |
Шаг:7. Выполним умножение: 0.2M^2*0.2M^2 = 0.04M^4
Стало: | (0.04M^4+0.5M*0.2M^2+0.5M*(0.2M^2+0.5M))*(0.2M^2+0.5M) |
Шаг:8. Выполним умножение: 0.5M*0.2M^2 = 0.1M^3
Стало: | (0.04M^4+0.1M^3+0.5M*(0.2M^2+0.5M))*(0.2M^2+0.5M) |
Шаг:9. Раскрываем скобки 0.5M*(0.2M^2+0.5M)=0.2M^2*0.5M+0.5M*0.5M
Стало: | (0.04M^4+0.1M^3+0.2M^2*0.5M+0.5M*0.5M)*(0.2M^2+0.5M) |
Шаг:10. Выполним умножение: 0.2M^2*0.5M = 0.1M^3
Стало: | (0.04M^4+0.1M^3+0.1M^3+0.5M*0.5M)*(0.2M^2+0.5M) |
Шаг:11. Выполним умножение: 0.5M*0.5M = 0.25M^2
Стало: | (0.04M^4+0.1M^3+0.1M^3+0.25M^2)*(0.2M^2+0.5M) |
Шаг:12. Выполним сложение: 0.1M^3+0.1M^3 = 0.2M^3
Стало: | (0.04M^4+0.2M^3+0.25M^2)*(0.2M^2+0.5M) |
Шаг:13. Раскрываем скобки (0.04M^4+0.2M^3+0.25M^2)*(0.2M^2+0.5M)=0.04M^4*(0.2M^2+0.5M)+0.2M^3*(0.2M^2+0.5M)+0.25M^2*(0.2M^2+0.5M)
Стало: | 0.04M^4*(0.2M^2+0.5M)+0.2M^3*(0.2M^2+0.5M)+0.25M^2*(0.2M^2+0.5M) |
Шаг:14. Раскрываем скобки 0.04M^4*(0.2M^2+0.5M)=0.04M^4*0.2M^2+0.04M^4*0.5M
Стало: | 0.04M^4*0.2M^2+0.04M^4*0.5M+0.2M^3*(0.2M^2+0.5M)+0.25M^2*(0.2M^2+0.5M) |
Шаг:15. Выполним умножение: 0.04M^4*0.2M^2 = 0.008M^6
Стало: | 0.008M^6+0.04M^4*0.5M+0.2M^3*(0.2M^2+0.5M)+0.25M^2*(0.2M^2+0.5M) |
Шаг:16. Выполним умножение: 0.04M^4*0.5M = 0.02M^5
Стало: | 0.008M^6+0.02M^5+0.2M^3*(0.2M^2+0.5M)+0.25M^2*(0.2M^2+0.5M) |
Шаг:17. Раскрываем скобки 0.2M^3*(0.2M^2+0.5M)=0.2M^3*0.2M^2+0.2M^3*0.5M
Стало: | 0.008M^6+0.02M^5+0.2M^3*0.2M^2+0.2M^3*0.5M+0.25M^2*(0.2M^2+0.5M) |
Шаг:18. Выполним умножение: 0.2M^3*0.2M^2 = 0.04M^5
Стало: | 0.008M^6+0.02M^5+0.04M^5+0.2M^3*0.5M+0.25M^2*(0.2M^2+0.5M) |
Шаг:19. Выполним умножение: 0.2M^3*0.5M = 0.1M^4
Стало: | 0.008M^6+0.02M^5+0.04M^5+0.1M^4+0.25M^2*(0.2M^2+0.5M) |
Шаг:20. Выполним сложение: 0.02M^5+0.04M^5 = 0.06M^5
Стало: | 0.008M^6+0.06M^5+0.1M^4+0.25M^2*(0.2M^2+0.5M) |
Шаг:21. Раскрываем скобки 0.25M^2*(0.2M^2+0.5M)=0.25M^2*0.2M^2+0.25M^2*0.5M
Стало: | 0.008M^6+0.06M^5+0.1M^4+0.25M^2*0.2M^2+0.25M^2*0.5M |
Шаг:22. Выполним умножение: 0.25M^2*0.2M^2 = 0.05M^4
Стало: | 0.008M^6+0.06M^5+0.1M^4+0.05M^4+0.25M^2*0.5M |
Шаг:23. Выполним умножение: 0.25M^2*0.5M = 0.125M^3
Стало: | 0.008M^6+0.06M^5+0.1M^4+0.05M^4+0.125M^3 |
Шаг:24. Выполним сложение: 0.1M^4+0.05M^4 = 0.15M^4
Стало: | 0.008M^6+0.06M^5+0.15M^4+0.125M^3 |