Cho \(A=1\cdot3\cdot5\cdot7\cdot...\cdot49\)
\(B=\frac{1\cdot2\cdot3\cdot...\cdot48\cdot49\cdot50}{2\cdot4\cdot6\cdot...\cdot48\cdot50}\)
\(C=\frac{26}{2}\cdot\frac{27}{2}\cdot...\cdot\frac{50}{2}\)
So sánh A,B và C
a)A=\(\frac{1}{1\cdot3\cdot5}+\frac{1}{3\cdot5\cdot7}+\frac{1}{5\cdot7\cdot9}+...+\frac{1}{25\cdot27\cdot29}\)
b)\(\left(\frac{1}{1\cdot101}+\frac{1}{2\cdot102}+...+\frac{1}{10\cdot110}\right)\cdot x=\frac{1}{1.11}+\frac{1}{2\cdot12}+...+\frac{1}{100\cdot110}\)
Tính \(A=\frac{1}{1\cdot2\cdot3\cdot4\cdot5}+\frac{1}{2\cdot3\cdot4\cdot5\cdot6}+...+\frac{1}{26\cdot27\cdot28\cdot29\cdot30}\)
Tìm A
\(A=\left(\frac{1}{1\cdot3}+1\right)\cdot\left(\frac{1}{3\cdot5}+1\right)\cdot...\cdot\left(\frac{1}{49\cdot50}+1\right)\)
tinh
\(\frac{2^2}{1\cdot3}\cdot\frac{3^2}{2\cdot4}\cdot...\cdot\frac{50^2}{49\cdot50}\)
Rút gọn phân số:
a,\(\frac{21\cdot75\cdot130\cdot169}{39\cdot60\cdot11\cdot198}\)
b,\(\frac{2^4\cdot5^2:11^2\cdot7}{2^3\cdot5^3\cdot7^2.11}\)
Rút gọn biểu thức:
\(A=\frac{2^2}{1\cdot3}\cdot\frac{3^2}{2\cdot4}\cdot\frac{4^2}{3\cdot5}......\frac{99^2}{98\cdot100}\)
\(t\text{ìm}x\left(\frac{36}{1\cdot3\cdot5}+\frac{36}{3\cdot5\cdot7}+.....+\frac{36}{25\cdot27\cdot29}\right)\cdot x=\frac{4}{25}\)
rút gọn
a, \(\frac{2^3\cdot3^3\cdot3^5}{16\cdot21\cdot3^2}\) b, \(\frac{4116-14}{1470\cdot7-5\cdot7}\) c, \(\frac{11\cdot12+33\cdot36+55\cdot60}{22\cdot44+66\cdot72+110\cdot120}\)