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\(2×\dfrac{3}{7}+\left(\dfrac{2}{9}-\dfrac{10}{7}\right)-\dfrac{5}{3}:\dfrac{1}{9}\)
\(=\dfrac{6}{7}+\dfrac{2}{9}-\dfrac{10}{7}-15\)
\(=\left(\dfrac{6}{7}-\dfrac{10}{7}\right)+\dfrac{2}{9}-15\)
\(=-\dfrac{4}{7}+\dfrac{2}{9}-15\)
\(=-\dfrac{22}{63}-15\)
\(=-\dfrac{967}{63}\)
\(2x.\dfrac{3}{7}+\left(\dfrac{2}{9}+\dfrac{10}{7}\right)-\dfrac{5}{3}:\dfrac{1}{9}\)
\(\Leftrightarrow2x\dfrac{3}{7}+\dfrac{2}{9}-\dfrac{10}{7}-\dfrac{5}{3}:\dfrac{1}{9}\)
\(\Leftrightarrow\dfrac{6x}{7}+\dfrac{2}{9}-\dfrac{10}{7}-\dfrac{5}{3}:\dfrac{1}{9}\)
\(\Leftrightarrow\dfrac{6x}{7}+\dfrac{2}{9}-\dfrac{10}{7}-15\)
\(\Leftrightarrow\dfrac{6x}{7}-\dfrac{1021}{63}\)

3^2.3^n=3^5
=> n=3
(2^2:4).n^2=4
=> n= +2;-2
1/9.3^4.3^n=3^7
=>n=9
1/9=27^n=3^n
=> n=
1/2.2n+4.2^n=9.5^n
=> n ∈ ∅

-15(x+2) + 7(2x3) = -50
-15(x+2) + 7 x 6 = -50
-15(x+2) + 42 = -50
-15(x+2) = -50 - 42
-15(x+2) = -92
(x+2) = -92 : -15
(x+2) = 6,1333
x = 6,1333 + 2
x = 8,1333
-15(x+2)+7(2.3)=-50
-15(x+2)+7.6=-50
-15(x+2)+42=-50
-15(x+2)=-50-42
-15(x+2)=-92
x+2=-92:-15
x+2=92/15
x=92/15-2
x=62/15
moi nguoi nho tk va ket ban voi minh nhe


\(B=1+\frac{1}{1.2}+\frac{1}{2.3}+.....+\frac{1}{99.100}.\)
\(B=1+1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+........+\frac{1}{99}+\frac{1}{100}\)
\(B=1+1-\frac{1}{100}=2-\frac{1}{100}\)
\(B=\frac{199}{100}\)
\(C=\frac{1}{1.2}+\frac{1}{2.3}+........+\frac{1}{n\left(n+1\right)}\)
\(C=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+.......+\frac{1}{n}-\frac{1}{n+1}\)
\(C=1-\frac{1}{n+1}\)
\(C=\frac{n+1-1}{n+1}=\frac{n}{n+1}\)
Áp dụng công thức tình dãy số ta có :
\(D=\frac{\left[\left(n-1\right):1+1\right].\left(n+1\right)}{2}=\frac{n.\left(n+1\right)}{2}\)

\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+.....+\frac{1}{n\left(n+1\right)}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{n}-\frac{1}{n+1}\)
\(=1-\frac{1}{n+1}\)
\(=\frac{n+1}{n+1}-\frac{1}{n+1}\)
\(=\frac{n}{n+1}\)
\(2\times3^n=6\times3^7.\)
\(2\div6=3^7\div3^n\)
\(\frac{1}{3}=3^7\div3^n\)
\(3^n=3^7\div\frac{1}{3}\)
\(3^n=3^7\times3\)
\(3^n=3^8\)
\(\Rightarrow\)\(n=8\)
TL :
\(2.3^n=2.3.3^7\)
\(2.3^n=2.3^8\)
\(n=8\)
HT