Tìm x, biết
\(\dfrac{1}{4}\cdot\dfrac{2}{6}\cdot\dfrac{3}{8}\cdot\dfrac{4}{10}\cdot\dfrac{5}{12}\cdot...\cdot\dfrac{30}{62}\cdot\dfrac{31}{64}\)=\(4^x\)
\(\left[\dfrac{3}{7}\cdot\dfrac{4}{15}+\dfrac{1}{3}\cdot\left(9^{15}\right)\right]^0\cdot\dfrac{1}{3}\cdot\dfrac{6^8}{12^4}\). Tính
Cho C=\(\dfrac{1}{2}\cdot\dfrac{3}{4}\cdot\dfrac{5}{6}\cdot\cdot\cdot\dfrac{199}{200}\) Chứng minh C2<\(\dfrac{1}{201}\)
Tìm x, biết:
\(x=\dfrac{19}{11}\cdot\dfrac{5}{14}+\dfrac{1}{11}\cdot\dfrac{5}{7}-\sqrt{\dfrac{25}{4}}\cdot\dfrac{2}{11}\)
Tính
\(A=-\dfrac{11}{12}\cdot-\dfrac{4}{33}\cdot\dfrac{84}{-25}\cdot\dfrac{5}{8}\)
\(B=3\dfrac{2}{7}\cdot12\dfrac{2}{7}-3\dfrac{2}{7}\cdot5\dfrac{1}{2}\)
Tính nhanh :
\(\dfrac{\left(\dfrac{2}{3}\right)^3\cdot\left(-\dfrac{3}{4}\right)^2\cdot\left(-1\right)^5}{\left(\dfrac{2}{5}\right)^2\cdot\left(-\dfrac{5}{12}\right)^3}\)
1.Tìm GTLN của biểu thức :
\(\dfrac{a^{2012}+2013}{a^{2012}+2011}\)
2.Cho \(B=\dfrac{1}{2}\cdot\dfrac{3}{4}\cdot\dfrac{5}{6}\cdot\cdot\cdot\dfrac{99}{100}\)
CM : \(\dfrac{1}{15}< B< \dfrac{1}{10}\)
Làm giúp mk nha chìu mai học r !!!
Thực hiện tính
M=\(1+\dfrac{1}{2}\cdot\left(1+2\right)+\dfrac{1}{3}\cdot\left(1+2+3\right)+\dfrac{1}{4}\cdot\left(1+2+3+4\right)+...+\dfrac{1}{16}\cdot\left(1+2+3+...+16\right)\)
\(\dfrac{-8}{5}\cdot X-\dfrac{11}{5}\cdot X=2\cdot\left(X-1\right)\)
