TÍNH BẰNG CÁCH THUẬN TIỆN $\frac{4^6.9^5+6^9.120}{8^4.3^12-6^11}$ TÍNH 4^3.4-6^3:(-6) ² 16/08/2021 Bởi Delilah TÍNH BẰNG CÁCH THUẬN TIỆN $\frac{4^6.9^5+6^9.120}{8^4.3^12-6^11}$ TÍNH 4^3.4-6^3:(-6) ²
Đáp án `{4^6. 9^5+6^9. 120}/{8^4. 3^{12}-6^{11}}=4/5.` `4^3. 4-6^3:(-6)^2=250.` Giải thích các đáp án: `{4^6. 9^5+6^9. 120}/{8^4. 3^{12}-6^{11}}` `={(2^2)^6. (3^2)^5 + (2.3)^9. 3.2^3. 5}/{(2^3)^4. 3^{12}-(2.3)^{11}}` `={2^{12}. 3^10 + 2^9 . 3^9 . 3. 2^3 . 5}/{2^{12}. 3^{12}-2^{11}.3^{11}}` `={2^{12}. 3^10 + 2^{12} . 3^{10} .5 }/{2^{12}. 3^{12}-2^{11}.3^{11}}` `={2^{12} . 3^{10}. (1+5)}/{2^{11}. 3^{11}.(6-1)}` `={2.6}/{3.5}` `={12}/{15}=4/5.` `4^3. 4-6^3:(-6)^2` `=4^{3+1}-6^3:6^2` `=4^4 – 6^{3-2}` `=256-6^1` `=256-6` `=250.` Bình luận
$\dfrac{4^6 . 9^5 + 6^9 . 120}{8^4 . 3^{12} – 6^{11}}$ $= \dfrac{2^{12} . 3^{10} + 2^9 . 3^9 . 2^3 . 3 . 5}{2^{12} . 3^{12} – 2^{11} . 3^{11}}$ $= \dfrac{2^{12} . 3^{10} + 2^{12} . 3^{10} . 5}{2^{11} . 3^{11} . (2.3-1)}$ $= \dfrac{2^{12} . 3^{10}. ( 1 + 5)}{2^{11} . 3^{11} . 5}$ $= \dfrac{2 .6}{3.5}$ $= \dfrac{12}{15}$ $= \dfrac{4}{5}$ $4^3 . 4 – 6^3 : (-6)^2$ $= 4^4 – 6$ $= 250$ Bình luận
Đáp án
`{4^6. 9^5+6^9. 120}/{8^4. 3^{12}-6^{11}}=4/5.`
`4^3. 4-6^3:(-6)^2=250.`
Giải thích các đáp án:
`{4^6. 9^5+6^9. 120}/{8^4. 3^{12}-6^{11}}`
`={(2^2)^6. (3^2)^5 + (2.3)^9. 3.2^3. 5}/{(2^3)^4. 3^{12}-(2.3)^{11}}`
`={2^{12}. 3^10 + 2^9 . 3^9 . 3. 2^3 . 5}/{2^{12}. 3^{12}-2^{11}.3^{11}}`
`={2^{12}. 3^10 + 2^{12} . 3^{10} .5 }/{2^{12}. 3^{12}-2^{11}.3^{11}}`
`={2^{12} . 3^{10}. (1+5)}/{2^{11}. 3^{11}.(6-1)}`
`={2.6}/{3.5}`
`={12}/{15}=4/5.`
`4^3. 4-6^3:(-6)^2`
`=4^{3+1}-6^3:6^2`
`=4^4 – 6^{3-2}`
`=256-6^1`
`=256-6`
`=250.`
$\dfrac{4^6 . 9^5 + 6^9 . 120}{8^4 . 3^{12} – 6^{11}}$
$= \dfrac{2^{12} . 3^{10} + 2^9 . 3^9 . 2^3 . 3 . 5}{2^{12} . 3^{12} – 2^{11} . 3^{11}}$
$= \dfrac{2^{12} . 3^{10} + 2^{12} . 3^{10} . 5}{2^{11} . 3^{11} . (2.3-1)}$
$= \dfrac{2^{12} . 3^{10}. ( 1 + 5)}{2^{11} . 3^{11} . 5}$
$= \dfrac{2 .6}{3.5}$
$= \dfrac{12}{15}$
$= \dfrac{4}{5}$
$4^3 . 4 – 6^3 : (-6)^2$
$= 4^4 – 6$
$= 250$