Answer
$-23$
Work Step by Step
Using the order of operations on real numbers, the given expression, $
2-(3^3+16\div(-2)^3)
,$ evaluates to
\begin{array}{l}\require{cancel}
2-(27+16\div(-8))
\\\\=
2-(27+(-2))
\\\\=
2-(27-2)
\\\\=
2-(25)
\\\\=
2-25
\\\\=
-23
.\end{array}