Tính nhanh: \(\left(\frac{1}{49}-\frac{1}{2^2}\right)\times\left(\frac{1}{49}-\frac{1}{3^2}\right)\times...\times\left(\frac{1}{49}-\frac{1}{40^2}\right)\)
tính:
\(\frac{1-\frac{1}{\sqrt{49}}+\frac{1}{49}-\frac{1}{\left(\sqrt[7]{7}\right)^2}}{\frac{\sqrt{64}}{2}-\frac{4}{7}+\left(\frac{2}{7}\right)^2-\frac{4}{343}}\)
Tính giá trị cua biểu thức sau
\(B=\frac{1-\frac{1}{\sqrt{49}}+\frac{1}{49}-\frac{1}{\left(\sqrt[7]{7}\right)^2}}{\frac{\sqrt{64}}{2}-\frac{4}{7}+\left(\frac{2}{7}\right)^2-\frac{4}{343}}\)
\(3\frac{1}{2}.\frac{4}{49}-\left[2,\left(4\right).2\frac{5}{11}\right]:\left(\frac{-42}{8}\right)\)
\(\left[0,\left(5\right).0,\left(2\right)\right]:\left(3\frac{1}{3}:\frac{33}{25}\right)-\left(\frac{2}{5}.3\frac{1}{3}\right);\frac{4}{3}\)
Tính
Tính
a) \(\left(\frac{3}{7}\right)^{21}:\left(\frac{9}{49}\right)^6\)
b) \(\left(-\frac{1}{3}\right)^{-1}-\left(-\frac{6}{7}\right)^0+\left(\frac{1}{2}\right):2\)
Tính a):\(\frac{\left(\frac{4}{9}\right)^2.\left(-\frac{9}{16}\right).\left(-1\right)^{19}}{\left(\frac{4}{25}\right)^2.\left(-\frac{25}{144}\right)^2.\left(-\frac{49}{144}\right)^2}\)
b)\(\frac{\left(\frac{2}{3}\right)^3.\left(-\frac{3}{4}\right)^2.\left(-1\right)^{2003}}{\left(\frac{2}{5}\right)^2.\left(-\frac{5}{12}\right)^3}\)
Tính
\(3\frac{1}{2}\cdot\frac{4}{49}\left[2,\left(4\right)\cdot2\frac{5}{11}\right]:\left(\frac{-42}{5}\right)\)
\(\left[0,\left(5\right).0,\left(2\right)\right]:\left(3\frac{1}{3}:\frac{33}{25}\right)-\left(\frac{2}{5}\cdot1\frac{1}{3}\right):\frac{4}{3}\)
\(\frac{\left(\frac{4}{9}\right)^2\cdot\left(\frac{-9}{16}\right)\cdot\left(-1\right)^{19}}{\left(\frac{4}{25}\right)^2\cdot\left(\frac{-25}{144}\right)^2\cdot\left(\frac{-49}{144}\right)^2}\)tính
Tính nhanh:
\(D=182\left[\frac{1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}}{2+\frac{2}{3}+\frac{2}{9}+\frac{2}{27}}:\frac{4-\frac{4}{7}+\frac{4}{49}-\frac{4}{343}}{1-\frac{1}{7}+\frac{1}{49}-\frac{1}{343}}\right]:\frac{919191}{808080}\)