Bài 2:
b) \(\left(\dfrac{-2}{3}\right)^2+\dfrac{1}{6}-\left(-0,5\right)^3\)
\(=\dfrac{4}{9}+\dfrac{1}{6}-\dfrac{1}{8}\)
\(=\dfrac{32}{72}+\dfrac{12}{72}-\dfrac{9}{72}\)
\(=\dfrac{35}{72}\)
d) \(\left(\dfrac{-1}{2}\right)^2-\dfrac{5}{8}:\left(0,5\right)^3-\dfrac{5}{3}\cdot\left(-6\right)\)
\(=\dfrac{1}{4}-\dfrac{5}{8}:\dfrac{1}{8}-\left(-10\right)\)
\(=0,25-5+10\)
\(=\dfrac{21}{4}\)
g) \(\left[\left(\dfrac{3}{5}-\dfrac{1}{3}\right)\cdot6+\dfrac{-1}{3}\right]\cdot5\)
\(=\left[\left(\dfrac{9}{15}-\dfrac{5}{15}\right)\cdot6+\dfrac{-1}{3}\right]\cdot5\)
\(=\left[\dfrac{4}{15}\cdot6+\dfrac{-1}{3}\right]\cdot5\)
\(=\left[\dfrac{8}{5}+\dfrac{-1}{3}\right]\cdot5\)
\(=\left[\dfrac{24}{15}+\dfrac{-5}{15}\right]\cdot5\)
\(=\dfrac{19}{15}\cdot5=\dfrac{19}{3}\)
h) \(0,8:\left\{0,2-8\cdot\left[\dfrac{7}{48}+\left(\dfrac{5}{24}-\dfrac{5}{16}\right)\right]\right\}\)
\(=\dfrac{4}{5}:\left\{\dfrac{1}{5}-8\cdot\left[\dfrac{7}{48}+\dfrac{-5}{48}\right]\right\}\)
\(=\dfrac{4}{5}:\left\{\dfrac{1}{5}-8\cdot\dfrac{1}{24}\right\}\)
\(=\dfrac{4}{5}:\left\{\dfrac{1}{5}-\dfrac{1}{3}\right\}\)
\(=\dfrac{4}{5}:\left\{\dfrac{3}{15}-\dfrac{5}{15}\right\}\)
\(=\dfrac{4}{5}:\dfrac{-2}{15}\)
\(=-6\)
