Toán rút gọn :2^19.27+15.4^9.9^4/6^9.2^10+12^10 07/09/2021 By Camila rút gọn :2^19.27+15.4^9.9^4/6^9.2^10+12^10
`\frac{2^19. 27+15. 4^9. 9^4}{6^9. 2^10+12^10}` `=\frac{2^19. 3^3+3.5. (2^2)^9. (3^2)^4}{6^9. 2^10+6^10. 2^10}` `=\frac{2^19. 3^3+5. 2^18. 3^9}{6^9. 2^10.(1+6)}` `= \frac{2^18. 3^3.(2+5. 3^6)}{6^9. 2^10.(1+6)}` `= \frac{2^18. 3^3. 3647}{6^9. 2^10. 7}` `= \frac{2^10. 2^8. 3^3. 3647}{2^9. 3^9. 2^10. 7}` `= \frac{3647}{2. 3^6. 7}` `= \frac{3647}{10206}` `= \frac{521}{1458}.` Trả lời
Đáp án:
Giải thích các bước giải:
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`\frac{2^19. 27+15. 4^9. 9^4}{6^9. 2^10+12^10}`
`=\frac{2^19. 3^3+3.5. (2^2)^9. (3^2)^4}{6^9. 2^10+6^10. 2^10}`
`=\frac{2^19. 3^3+5. 2^18. 3^9}{6^9. 2^10.(1+6)}`
`= \frac{2^18. 3^3.(2+5. 3^6)}{6^9. 2^10.(1+6)}`
`= \frac{2^18. 3^3. 3647}{6^9. 2^10. 7}`
`= \frac{2^10. 2^8. 3^3. 3647}{2^9. 3^9. 2^10. 7}`
`= \frac{3647}{2. 3^6. 7}`
`= \frac{3647}{10206}`
`= \frac{521}{1458}.`