Answer
$4$
Work Step by Step
Using order of operations, the given expression, $
2^3+2^4-5[8-4(9-10)^2]
$, evaluates to
\begin{array}{l}
8+16-5[8-4(-1)^2]
\\\\=
8+16-5[8-4(1)]
\\\\=
8+16-5[8-4]
\\\\=
8+16-5[4]
\\\\=
8+16-20
\\\\=
24-20
\\\\=
4
.\end{array}