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\(a)-7/25*(11/13+2/13)-18/25=-7/25*1-18/25=-7/25-18/25=-25/25=-1\)
\(=-\dfrac{7}{25}\left(\dfrac{11}{13}+\dfrac{2}{13}\right)-\dfrac{18}{25}=-\dfrac{7}{25}.1-\dfrac{18}{25}=-\dfrac{25}{25}=-1\)
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\(B=\frac{1+2+2^2+2^3+...+2^{2008}}{1-2^{2009}}\)
Đặt: \(A=1+2+2^2+2^3+....+2^{2008}\)
\(\Rightarrow2A=2+2^2+2^3+2^4+...+2^{2009}\)
\(\Rightarrow2A-A=\left(2+2^2+2^3+2^4+...+2^{2009}\right)-\left(1+2+2^2+2^3+....+2^{2008}\right)\)
\(\Rightarrow2^{2009}-1\)
\(\Rightarrow B=\frac{2^{2009}-1}{1-2^{2009}}\)
= -7/25 x ( 11/13 + 2/13 ) - 18/25
= - 7/25 x 1 - 18/25
= -7/25 - 18/25
= -1
nhớ tích cho mình nha mình cảm ơn rất nhìu^^
\(=\dfrac{-7}{25}\left(\dfrac{11}{13}+\dfrac{2}{13}\right)-\dfrac{18}{25}=-1\)
\((3-\dfrac{7}{3}+\dfrac{1}{4}\))\(\div\)\(\left(4-\dfrac{31}{6}+\dfrac{9}{4}\right)\)=
\(\left(\dfrac{36}{12}-\dfrac{28}{12}+\dfrac{3}{12}\right)\div\left(\dfrac{48}{12}-\dfrac{62}{12}+\dfrac{27}{12}\right)\)=
\(\dfrac{11}{12}\div\dfrac{13}{12}\)=\(\dfrac{11}{12}\times\dfrac{12}{13}=\dfrac{11}{13}\)
\(a.\frac{-5}{9}+\frac{5}{9}:A=\left(-\frac{5}{9}+\frac{5}{9}\right):A=0:A=0\)
\(b.\frac{7}{25}.\frac{11}{13}-\frac{7}{25}.\frac{2}{13}-\frac{8}{25}=\frac{7}{25}.\left(\frac{11}{13}-\frac{2}{13}\right)-\frac{8}{25}=\frac{7}{25}.\frac{9}{13}-\frac{8}{25}=\frac{63}{325}-\frac{8}{25}=\frac{-41}{325}\)
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`Answer:`
a. \(-\frac{17}{30}-\frac{11}{-15}+-\frac{7}{12}\)
\(=-\frac{17}{30}+\frac{11}{15}-\frac{7}{12}\)
\(=-\frac{17}{30}+\frac{22}{30}-\frac{7}{12}\)
\(=\frac{1}{6}-\frac{7}{12}\)
\(=-\frac{5}{12}\)
b. \(-\frac{5}{9}+\frac{5}{9}:\left(\frac{5}{3}-\frac{25}{12}\right)\)
\(=-\frac{5}{9}+\frac{5}{9}:\left(-\frac{5}{12}\right)\)
\(=\frac{5}{9}.\left(-1\right)+\frac{5}{9}.\left(-\frac{12}{5}\right)\)
\(=\frac{5}{9}.\left(-1-\frac{12}{5}\right)\)
\(=\frac{5}{9}.\frac{-17}{5}\)
\(=-\frac{17}{9}\)
c. \(-\frac{7}{25}.\frac{11}{13}+-\frac{7}{25}-\frac{2}{13}-\frac{18}{25}\)
\(=\frac{77}{325}-\left(\frac{7}{25}+\frac{18}{25}\right)-\frac{2}{13}\)
\(=\frac{77}{325}-1-\frac{2}{13}\)
\(=-\frac{452}{325}\)