Rút gọn biểu thức sau:
\(A=\left(1+\frac{1}{3}\right).\left(1+\frac{1}{8}\right).\left(1+\frac{1}{15}\right)...\left(1+\frac{1}{n^2+2n}\right)\) (n nguyên dương)
a) \(\frac{2^{19}.2^{27}+15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
b) \(\frac{\left(-\frac{1}{2}\right)^3-\left(\frac{3}{4}\right)^3-\left(-2\right)^2}{2.\left(-1\right)^5+\left(\frac{3}{4}\right)^2-\frac{3}{8}}\)
Rút gọn
rút gọn:
\(\frac{\left(-5\right)^3.40.4^3}{135.\left(-2\right)^{14}.\left(-100\right)^0}\)
giải chitieet hộ mk nha
\(\frac{\left(-5\right)^7.10^3.2^5}{50^8.\left(-8\right)^3}\)
rút gọn
Rút gọn biểu thức:
\(C=\frac{12-\sqrt{15.135}+\left(\sqrt{31}\right)^2}{\sqrt{\frac{80}{45}}-\frac{10}{\left(\sqrt{3}\right)^2}}\)
rút gọn:
\(\frac{18.34+\left(-18\right).124}{-36.17+9.\left(-52\right)}\)
giải chi tiết nha
Rút gọn biểu thức
\(B=\frac{1}{1975}.\left(\frac{2}{1945}-1\right)-\frac{1}{1945}.\left(1-\frac{2}{1975}\right)-\frac{1974}{1975}.\frac{1946}{1945}-\frac{3}{1975.1945}\)
Rút gọn biểu thức B=\(\left(1+\frac{1}{2}\right).\left(1+\frac{1}{3}\right).\left(1+\frac{1}{4}\right)......\left(1+\frac{1}{10}\right)\)
Cho \(A=\left(2-1\frac{1}{4}\right)\left(2-1\frac{1}{9}\right)\left(2-1\frac{1}{16}\right)...\left(2-1\frac{1}{400}\right)\)
Rút gọn A.