Thực hiện phép tính :

a, A =\(\left(1:\frac{5^2}{10^2}\right).\left(1\frac{1}{1}\right)^2+25.\left[1:\left(\frac{4}{3}\right)^2:\left(\frac{5}{4}\right)^3\right]:\left(1:\frac{-8}{27}\right)\)

b, B =\(\left(1-\frac{1}{2^2}\right).\left(1-\frac{1}{3^2}\right).\left(1-\frac{1}{4^2}\right)...\left(1-\frac{1}{100^2}\right)\)

Thực hiện phép tính

c) \(\left[\left(\frac{4}{3}\right)^{-3}\left(\frac{3}{4}\right)^6\right]:\left(\frac{3}{2}\right)^6\)

d)\(\left[\left(-\frac{1}{2}\right)^3-\left(\frac{3}{4}\right)^3\left(-2\right)^2\right]:\left[2\left(-1\right)^5+\left(\frac{3}{4}\right)^2-\frac{3}{8}\right]\)

Thực hiện phép tính

a) \(\left[6.\left(-\frac{1}{3}\right)^2-3.\left(-\frac{1}{3}\right)+1\right]:\left(-\frac{1}{3}-1\right)\)

b) \(\frac{\left(\frac{2}{3}\right)^3.\left(-\frac{3}{4}\right)^2.\left(-1\right)^{2003}}{\left(\frac{2}{5}\right)^2.\left(-\frac{5}{12}\right)^3}\)

Thực hiện phép tính:

A=\(\left(3\frac{1}{3}+2,5\right):\left(3\frac{1}{6}-4\frac{1}{5}\right)-\frac{11}{31}\)

B=\(\left(-6\right).10:\left[-0,25+\frac{1}{2}:\left(-2\right)\right]+1\frac{3}{4}\)

Thực hiện phép tính một cách thích hợp:

\(\left(\frac{-1}{2}\right)+\left(\frac{-1}{9}\right)-\left(\frac{-3}{5}\right)+\frac{1}{2006}-\left(\frac{-2}{7}\right)-\frac{7}{18}+\frac{4}{35}\)

Bài 1: Thực hiện phép tính

a) \(2^3+3.\left(\frac{1}{2}\right)^0+\left[\left(-2\right)^2:\frac{1}{2}\right]\)

b) \(\frac{2^{15}.9^4}{6^6.8^3}\)

c) \(\left(1+\frac{2}{3}-\frac{1}{4}\right).\left(\frac{4}{5}-\frac{3}{4}\right)^2\)

d) \(\left(\frac{-10}{3}\right)^3.\left(\frac{-6}{5}\right)^4\)

Thực hiện phép tính: 

a) \(\left(\frac{1}{3}-1\right).\left(\frac{1}{6}-1\right).\left(\frac{1}{10}-1\right).\left(\frac{1}{15}-1\right)...\left(\frac{1}{1225}-1\right).\left(\frac{1}{1275}-1\right)\)

b) 1 - 2 + 3 - 4 + 5 - 6 + ... + 2011 - 2012