\(=\dfrac{3^7\cdot727+3^{12}}{3^8\cdot2\cdot13+2^3\cdot3^{11}+3^7\cdot241}\)
\(=\dfrac{3^7\left(727+3^5\right)}{3^7\left(2\cdot13+2^3\cdot3^4+241\right)}=\dfrac{970}{17089}\)
\(=\dfrac{3^7\cdot727+3^{12}}{3^8\cdot2\cdot13+2^3\cdot3^{11}+3^7\cdot241}\)
\(=\dfrac{3^7\left(727+3^5\right)}{3^7\left(2\cdot13+2^3\cdot3^4+241\right)}=\dfrac{970}{17089}\)
Tính
\(\frac{2181.729+234.81.27}{3^2.9^2.234+18.54.162.9+723.729}\)
C = 2181.729+243.81.27 và D=243.32.92+100+98+96+...+2-1-3-...-95-97
F=49/2.9+49/9.16+49/16.23+...+49/65.72
G=3/1.3+3/3.5+3/5.7+..+3/47.49
Tính : \(A=-\dfrac{1}{3}+\dfrac{1}{3^2}-\dfrac{1}{3^3}+...+\dfrac{1}{3^{100}}-\dfrac{1}{3^{101}}\)
Tính:
\(B=\left(\dfrac{-4}{5}+\dfrac{3}{3}\right)+\left(\dfrac{-5}{4}+\dfrac{14}{5}\right)+\left(\dfrac{7}{3}-2\right)\)
Thực hiện phép tính: \(\dfrac{-3}{8}.\dfrac{2}{7}+\dfrac{-3}{8}.\dfrac{5}{7}+\left|\dfrac{-7}{8}\right|\)
Tính nhanh
\(\dfrac{3}{2^2}.\dfrac{8}{3^2}.\dfrac{15}{4^2}...\dfrac{899}{30^2}\)
Cho A = \(\dfrac{1}{2014}\)+\(\dfrac{2}{2013}\)+\(\dfrac{3}{2012}\)+...+\(\dfrac{2013}{2}\)+2014
B = \(\dfrac{1}{2}\)+\(\dfrac{1}{3}\)+\(\dfrac{1}{4}\)+...+\(\dfrac{1}{2015}\)
Tính giá trị \(\dfrac{A}{B}\)
Tính:
\(\dfrac{7}{13}.\dfrac{5}{19}+\dfrac{7}{19}.\dfrac{8}{13}-3.\dfrac{7}{19}\)