Answer
$-10$
Work Step by Step
Using order of operations and the concepts of the absolute value of a number, the given expression, $
6+\dfrac{2}{3}(-9)-\dfrac{5}{8}\cdot16
,$ simplifies to
\begin{array}{l}\require{cancel}
6+\dfrac{2}{\cancel{3}}(-\cancel{9}^3)-\dfrac{5}{\cancel{8}}\cdot\cancel{16}^2
\\\\=
6+(-6)-10
\\\\=
6-6-10
\\\\=
-10
.\end{array}