\(2+\dfrac{1}{2}-\dfrac{4}{3}+\left(-\dfrac{1}{3}\right)^4\)
=\(2+\dfrac{1}{2}-\dfrac{4}{3}+\dfrac{1}{81}\)
=\(\dfrac{5}{2}-\dfrac{4}{3}+\dfrac{1}{81}\)
=\(\dfrac{7}{6}+\dfrac{1}{81}\)
=\(\dfrac{191}{162}\)
\(2+\dfrac{1}{2}-\dfrac{4}{3}+\left(-\dfrac{1}{3}\right)^4\)
\(=\dfrac{5}{2}-\dfrac{4}{3}+\dfrac{1}{81}\)
\(=\dfrac{5}{2}-\dfrac{108}{81}+\dfrac{1}{81}\)
\(=\dfrac{5}{2}-\dfrac{107}{81}\)
\(=\dfrac{405}{162}-\dfrac{214}{162}=\dfrac{191}{162}\)