A) \(9^{14}:\left(3^{12}.27^6\right)\)
\(=\dfrac{1}{9}\)
B) \(\sqrt{\dfrac{4}{9}}+\left(\dfrac{-1}{2}\right)^3-\left|\dfrac{-2}{3}\right|\)
\(=\dfrac{2}{3}+\left(-\dfrac{1}{2}\right)^3-\left|\dfrac{-2}{3}\right|\)
\(=\dfrac{2}{3}-\dfrac{1}{8}-\left|\dfrac{-2}{3}\right|\)
\(=\dfrac{13}{24}-\left|\dfrac{-2}{3}\right|\)
\(=\dfrac{13}{24}-\left|-\dfrac{2}{3}\right|\)
\(=\dfrac{13}{24}-\dfrac{2}{3}\)
\(=\dfrac{1}{8}\)