Tính nhanh:
\(\frac{3-3^2+3^3-3^4+...+3^{99}}{\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^{99}}}.\left(11-\sqrt{91}\right)\left(11-\sqrt{95}\right)\left(11+\sqrt{99}\right)\left(11-\sqrt{103}\right)\left(11-\sqrt{109}\right)\left(11-\sqrt{113}\right)...\left(11-\sqrt{113}\right)\left(11-\sqrt{104}\right)\)
Tính giá trị biểu thức :
a ) A = \(3\frac{1}{7}.4\frac{1}{119}-1\frac{116}{117}.5\frac{118}{119}-\frac{5}{119}\)
b ) B = \(4\frac{1}{115}.3\frac{1}{225}-5\frac{114}{115}.1\frac{224}{225}-\frac{10}{225}\)
a) A = \(3\frac{1}{117}.4\frac{1}{119}-1\frac{116}{117}.5\frac{118}{119}-\frac{5}{119}\)
b) B = \(4\frac{1}{115}.1\frac{1}{225}-5\frac{114}{115}.1\frac{224}{225}-\frac{10}{225}\)
\(\frac{210}{207}+\frac{105}{113}-\frac{3}{207}+\frac{8}{113}+27\)
KẾT QUẢ RA BẰNG BAO NHIÊU Z
Tính:
\(A=\left(\frac{1,5+1-0,75}{2,5+\frac{5}{3}-1,25}+\frac{0,375-0,3+\frac{3}{11}+\frac{3}{12}}{-0,625+0,5-\frac{5}{11}-\frac{5}{12}}\right):\frac{1890}{2005}+115\)
1) \(\left(\frac{1,5+1-0,5}{2,5+\frac{5}{3}-1,25}+\frac{0,375-0,3+\frac{3}{11}+\frac{3}{12}}{-0,625+0,5-\frac{5}{11}-\frac{5}{12}}\right):\frac{1890}{2005}+115\)
2) A=\(\frac{1,11+0,19-1,3.2}{2,06+0,54}-\left(\frac{1}{3}+\frac{1}{2}\right):2\)
3) A= \(1+\frac{3}{2^3}+\frac{4}{2^4}+...+\frac{100}{2^{100}}\)
\(A=\left(\frac{1,5+1-0,75}{2,5+\frac{5}{3}-1,25}+\frac{0,375-0,3+\frac{3}{11}+\frac{3}{12}}{-0,625+0,5-\frac{5}{11}-\frac{5}{12}}\right):\frac{1890}{2005}+115\)
Tìm x, y, z thuộc N* biết:
\(\frac{x}{5}+\frac{y}{6}+\frac{z}{8}=\frac{113}{120}\)
Tính : A = \(\dfrac{\dfrac{1}{14}-\dfrac{1}{30}-\dfrac{1}{46}}{\dfrac{2}{35}-\dfrac{2}{75}-\dfrac{2}{115}}\):\(\frac{\frac{3}{8}-\frac{15}{17}+\frac{30}{31}}{\frac{1}{6}-\frac{20}{51}+\frac{40}{93}}\)