Answer
$\dfrac{2}{9}$
Work Step by Step
The given expression, $
-\dfrac{1}{2}\cdot\left(-\dfrac{4}{9}\right)
$, simplifies to
\begin{array}{l}\require{cancel}
\dfrac{-1(-4)}{2(9)}
\\\\=
\dfrac{4}{18}
\\\\=
\dfrac{\cancel{2}\cdot2}{\cancel{2}\cdot9}
\\\\=
\dfrac{2}{9}
.\end{array}
