7/5 + 5/11 = ?
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5/7×5/11+5/7×2/11-5/7×14/11
\(\dfrac{5}{7}\left(\dfrac{5}{11}+\dfrac{2}{11}-\dfrac{14}{11}\right)=\dfrac{5}{7}\times-\dfrac{7}{11}=\dfrac{-5}{11}\)
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= 5/7 x ( 5/11 + 2/11 - 14/11 )
= 5/7 x -7/11
= -5/11
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5/7 x ( 5/11 + 2/11 - 14/11) = 5/7 x -7/11 = -5/11
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5/7×5/11+5/7×2/11-5/7×14/11
5/7×5/11+5/7×2/11-5/7×14/11
= 5/7 x ( 5/11 + 2/11 - 14/11 )
= 5/7 x -7/11
= -35/77
5^11 * 7^12+ 5^11 * 7^11
7^12 * 7^11 + 9 * 5^11 * 7^11
Rút gon
a) 3^10 . (-5)^21 / (-5)^20 . 3^12
b) -11^5 . 13^7 / 11^5 . 13^8
c) 2^10 . 3^10 - 2^10 . 3^9 / 2^9 . 3^10
d) 5^11. 7^12 + 5^11 . 7^11/5^12 . 7^12 + 9 . 5^11 . 7^11
giúp em với ạ!! Đề bài là rút gọn ạ
5/11.(-3/7)+5/11.(-5/7)+(-8/7).6/11
\(=\dfrac{5}{11}\left(-\dfrac{3}{7}-\dfrac{5}{7}\right)+\dfrac{-8}{7}\cdot\dfrac{6}{11}=\dfrac{-8}{7}\left(\dfrac{5}{11}+\dfrac{6}{11}\right)=-\dfrac{8}{7}\)
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\(\dfrac{5}{11}.\left(-\dfrac{3}{7}\right)+\dfrac{5}{11}.\left(-\dfrac{5}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
\(=\dfrac{5}{11}.\left[-\dfrac{3}{7}+\left(-\dfrac{5}{7}\right)\right]+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
\(=\dfrac{5}{11}.\left(-\dfrac{8}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}=\left(\dfrac{5}{11}+\dfrac{6}{11}\right).\left(-\dfrac{8}{7}\right)\)
\(=1.\left(-\dfrac{8}{7}\right)=-\dfrac{8}{7}\)
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\(\dfrac{5}{11}.\left(-\dfrac{3}{7}\right)+\dfrac{5}{11}.\left(-\dfrac{5}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
\(=\dfrac{5}{11}.\left(-\dfrac{3}{7}-\dfrac{5}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
\(=\dfrac{5}{11}.\left(-\dfrac{8}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
\(=\left(-\dfrac{8}{7}\right).\left(\dfrac{5}{11}+\dfrac{6}{11}\right)\)
\(=\left(-\dfrac{8}{7}\right).1\)
\(=-\dfrac{8}{7}\)
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Xem thêm câu trả lời
thu gọn các biểu thức sau
a)C=3^14+3^15+3^16+3^17+...+3^n
b)D=3^11+3^14+3^17+3^20+...+3^2021
c) E= -5^2-5^4-5^6-5^8-...-5^1000
d)F=-5^21-5^23-5^25-5^27-...-5^2019
e)M=7^2-7^4+7^6-7^8+...-7^1000
d)N=-12+11^2+11^3-11^4-11^5+...+11^498+11^499
b: \(27D=3^{14}+3^{17}+...+3^{2024}\)
\(\Leftrightarrow26D=3^{2024}-3^{11}\)
hay \(D=\dfrac{3^{2024}-3^{11}}{26}\)
c: \(25E=-5^4-5^6-...-5^{1002}\)
\(\Leftrightarrow24E=-5^{1002}+5^2\)
hay \(E=\dfrac{-5^{1002}+5^2}{24}\)
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5/7 ×5/11+ 5/7× 8/11- 5/7× 2/11
\(\dfrac{5}{7}.\dfrac{5}{11}+\dfrac{5}{7}.\dfrac{8}{11}-\dfrac{5}{7}.\dfrac{2}{11}\)
= \(\dfrac{5}{7}\left(\dfrac{5}{11}+\dfrac{8}{11}-\dfrac{2}{11}\right)\)
= \(\dfrac{5}{7}.\dfrac{5+8-2}{11}\)
= \(\dfrac{5}{7}.\dfrac{11}{11}\)
= \(\dfrac{5}{7}.1=\dfrac{5}{7}\)
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1/3-3/5+5/7-7/9+9/11-11/13+13/15+11/13-9/11+7/9-5/7+3/5-1/3
5/7. -5/7+ 5/7.-2/11-5/7.-14/11
\(\frac{5}{7}.\frac{-5}{7}+\frac{5}{7}.\frac{-2}{11}-\frac{5}{7}.\frac{-14}{11}\)
\(=\frac{5}{7}.\left(\frac{-5}{7}+\frac{-2}{11}-\frac{-14}{11}\right)\)
\(=\frac{5}{7}.\frac{29}{77}\)
\(=\frac{145}{539}\)
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tính
1/3-3/5+5/7-7/9+9/11-11/13+13/15+11/13-9/11+7/9-5/7+3/5