rút gọn biểu thức a=4^5.9^4-2.6^9/2^10.3^8.20 30/06/2021 Bởi Abigail rút gọn biểu thức a=4^5.9^4-2.6^9/2^10.3^8.20
`a={4^5. 9^4-2.6^9}/{2^10. 3^8. 20}` `={(2^2)^5. (3^2)^4-2.(2.3)^9}/{2^10. 3^8. 20}` `={2^10. 3^8-2.2^9. 3^9}/{2^10. 3^8. 20}` `={2^10. 3^8-2^10. 3^9}/{2^10. 3^8. 20}` `={2^10. 3^8.(1-3)}/{2^10. 3^8. 20}` `={2^10. 3^8.(-2)}/{2^10. 3^8. 20}` `={-1}/10` Bình luận
Đáp án: `a=(4^5 . 9^4 – 2 . 6^9)/(2^10. 3^8 . 20)` ` =(2^10 . 3^8 – 2^10 . 3^9)/(2^10 . 3^8 . 2^2 . 5)` ` =(2^10 . 3^8 . (1 – 3))/(2^12 . 3^8. 5)` ` =(-2)/(2^2 . 5)` ` = -1/(2.5) = -1/10` Bình luận
`a={4^5. 9^4-2.6^9}/{2^10. 3^8. 20}`
`={(2^2)^5. (3^2)^4-2.(2.3)^9}/{2^10. 3^8. 20}`
`={2^10. 3^8-2.2^9. 3^9}/{2^10. 3^8. 20}`
`={2^10. 3^8-2^10. 3^9}/{2^10. 3^8. 20}`
`={2^10. 3^8.(1-3)}/{2^10. 3^8. 20}`
`={2^10. 3^8.(-2)}/{2^10. 3^8. 20}`
`={-1}/10`
Đáp án:
`a=(4^5 . 9^4 – 2 . 6^9)/(2^10. 3^8 . 20)`
` =(2^10 . 3^8 – 2^10 . 3^9)/(2^10 . 3^8 . 2^2 . 5)`
` =(2^10 . 3^8 . (1 – 3))/(2^12 . 3^8. 5)`
` =(-2)/(2^2 . 5)`
` = -1/(2.5) = -1/10`