Answer
$-\dfrac{4}{9}$
Work Step by Step
Using the properties of radicals, the given expression, $
-\sqrt{\dfrac{16}{81}}
,$ simplifies to
\begin{array}{l}
-\sqrt{ \left( \dfrac{4}{9} \right)^2}
\\\\=
-\dfrac{4}{9}
.\end{array}
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