1.Tính
a)\(\frac{0,4+\frac{2}{9}-\frac{2}{11}}{1,6+\frac{8}{9}-\frac{8}{11}}\)
b)\(\frac{1}{99.97}-\frac{1}{97.95}-....-\frac{1}{5.3}-\frac{1}{3.1}\)
c)\(\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\)
K
Khách
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30 tháng 7 2018
\(a,\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\)
\(=\frac{\left(2^4\right)^3.3^{10}+2^3.3.5.\left(2.3\right)^9}{\left(2^2\right)^6.3^{12}+\left(2.3\right)^{11}}\)
\(=\frac{2^{12}.3^{10}+2^3.3.5.2^9.3^9}{2^{12}.3^{12}+2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{11}.3^{11}\left(2.3+1\right)}\)
\(=\frac{2^{12}.3^{10}\left(1+5\right)}{2^{11}.3^{11}.7}=\frac{2.6}{3.7}=\frac{4}{7}\)
L
24 tháng 10 2019
A=\(\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}=\frac{\left(2^4\right)^3.3^{10}+2^3.3.5.2^9.3^9}{\left(2^2\right)^6.3^{12}+2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{12}.3^{12}+2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}.\left(1+5\right)}{2^{11}.3^{11}.\left(2.3+1\right)}\)
\(=\frac{2.6}{3.7}\)\(=\frac{4}{7}\)
15 tháng 6 2017
a)(-3/7+4/11)x11/7+(-4/7+7/11)x11/7
=7/11x[(-3/7+4/11)+(-4/7+4/11)
=7/11x[(-3/7+-4/7)+(7/11+4/11)]
=7/11x[-1+1]
=7/11x0
=0
T
9 tháng 3 2018
a. \(\frac{x+1}{2}=\frac{8}{x+1}\)
\(\Leftrightarrow\left(x+1\right).\left(x+1\right)=8.2\)
\(\Leftrightarrow\left(x+1\right)^2=16\)
\(\Leftrightarrow\left(x+1\right)^2=2^4\)
\(\Leftrightarrow\left(x+1\right)=2^2\)
\(\Leftrightarrow\left(x+1\right)=4\)
\(\Leftrightarrow x=4-1=3\)
b. \(x:\left(9\frac{1}{2}-\frac{3}{2}\right)=\frac{0,4+\frac{2}{9}-\frac{2}{11}}{1,6+\frac{8}{9}-\frac{8}{11}}\)
\(\Leftrightarrow x:\left(\frac{10}{2}-\frac{3}{2}\right)=\frac{0,4+0,2-0,18}{1,6+0,8-0,72}\)
\(\Leftrightarrow x:\frac{7}{2}=\frac{\frac{21}{50}}{\frac{42}{25}}\)
\(\Leftrightarrow x=\frac{\frac{21}{50}}{\frac{42}{25}}.\frac{7}{2}\Leftrightarrow x=\frac{1}{4}.\frac{7}{2}=\frac{7}{8}\)
AK
9 tháng 3 2018
a ) \(\frac{x+1}{2}=\frac{8}{x+1}\)
\(\Rightarrow\left(x+1\right).\left(x+1\right)=2.8\)
\(\Rightarrow\left(x+1\right)^2=16\)
\(\Rightarrow\orbr{\begin{cases}x+1=4\\x+1=-4\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=4-1\\x=-4-1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=3\\x=-5\end{cases}}\)
Dấu " \(\orbr{\begin{cases}\\\end{cases}}\)là hoặc nha !!!
KN
22 tháng 5 2019
\(x\div\left(9\frac{1}{2}-\frac{3}{2}\right)=\frac{0,4+\frac{2}{9}-\frac{2}{11}}{1,6+\frac{8}{9}-\frac{8}{11}}\)
\(\Leftrightarrow x\div\left(\frac{19}{2}-\frac{3}{2}\right)=\frac{0,4+\frac{2}{9}-\frac{2}{11}}{4\left(0,4+\frac{2}{9}-\frac{2}{11}\right)}\)
\(\Leftrightarrow x\div\frac{16}{2}=\frac{1}{4}\)
\(\Leftrightarrow x\div8=\frac{1}{4}\)
\(\Leftrightarrow x=\frac{1}{4}\times8\)
\(\Leftrightarrow x=2\)
CC
22 tháng 5 2019
\(x:\left(9\frac{1}{2}-\frac{3}{2}\right)=\frac{0,4+\frac{2}{9}-\frac{2}{11}}{1,6+\frac{8}{9}-\frac{8}{11}}\)
\(x:\left(\frac{19}{2}-\frac{3}{2}\right)=\frac{0,4+\frac{2}{9}-\frac{2}{11}}{1,6+\frac{8}{9}-\frac{8}{11}}\)
\(x:8=\frac{0,4+\frac{2}{9}-\frac{2}{11}}{1,6+\frac{8}{9}-\frac{8}{11}}\)
Xét : \(\frac{0,4+\frac{2}{9}-\frac{2}{11}}{1,6+\frac{8}{9}-\frac{8}{11}}=\frac{0,4+\frac{2}{9}-\frac{2}{11}}{4.0,4+4.\frac{2}{9}-4.\frac{2}{11}}\)\(=\frac{0,4+\frac{2}{9}-\frac{2}{11}}{4\left(0,4+\frac{2}{9}-\frac{2}{11}\right)}=\frac{1}{4}\)
Thay vào biểu thức có : \(x:8=\frac{1}{4}\)
\(\Rightarrow x=\frac{1}{4}.8=2\)
23 tháng 3 2016
x:(19:2-3:2)=(2:5+2:9-2:11):(8:5+8:9-8:11)
x:8=2(1:5+1:9-1:11):8(1:5+1:9-1:11)
x:8=1:6
x=(1:6)8
x=4:3
vì không viết được phân số nên mình đành dùng dấu chia thông cảm
a)51/220
a )( 2/5+2/9-2/11)/(8/5+8/9-8/11)=2*(1/5+1/9-1/11)/8*(1/5+1/9-1/11)=2/8=1/4