\(1\dfrac{1}{4}\)-3\(\left(-\dfrac{1}{3}\right)\)2 - \(\left|-\dfrac{1}{2}\right|\)

\(\dfrac{8}{9}\)+ \(\dfrac{15}{23}\)+ \(\dfrac{1}{9}\)+\(\dfrac{-15}{23}\)+\(\dfrac{1}{2}\)

\(9\cdot\left(\dfrac{-1}{3}\right)^3-3\cdot\left(\dfrac{-1}{3}\right)^2+2\cdot\left(\dfrac{-1}{3}\right)+1\)

x-1/2019+x-2/2018=x-3/2017+x-4/2016

Tính nhanh:

a)\(\left(-\dfrac{1}{2}\right)\)-\(\left(-\dfrac{3}{5}\right)\)+\(\left(-\dfrac{1}{5}\right)\)+\(\dfrac{1}{131}\)-\(\left(-\dfrac{2}{7}\right)\)+\(\dfrac{4}{35}\)-\(\dfrac{7}{18}\)

Cho

\(\dfrac{4^x}{2^{x+y}}=8\) và \(\dfrac{9^{x+y}}{3^{5y}}=243\) (x,y \(\in\)N)

Tính xy

B= \(\left(3-\dfrac{1}{4}+\dfrac{2}{3}\right)\) - \(\left(5+\dfrac{1}{3}-\dfrac{6}{5}\right)\) - \(\left(6-\dfrac{7}{4}+\dfrac{3}{2}\right)\)

Tính giá trị cưa biểu thức có nhiều dấu ngoặc:

A= \(\left(6-\dfrac{2}{3}+\dfrac{1}{3}\right)\) - \(\left(5+\dfrac{5}{7}-\dfrac{3}{2}\right)\) - \(\left(3-\dfrac{7}{3}+\dfrac{5}{2}\right)\)

A = \(\dfrac{1}{1x2}+\dfrac{1}{3x4}+\dfrac{1}{5x6}+-+\dfrac{1}{99x100}\)

CM \(\dfrac{7}{12}< A< \dfrac{5}{6}\)

Tính B=\(\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)...\left(1-\dfrac{1}{n+1}\right)\) với \(n\in N\)