Answer
$17$
Work Step by Step
Using order of operations, the given expression, $
36\div(-2)^2+4[5-3(8-9)^5]
$, evaluates to
\begin{array}{l}
36\div4+4[5-3(-1)^5]
\\\\=
9+4[5-3(1)]
\\\\=
9+4[5-3]
\\\\=
9+4[2]
\\\\=
9+8
\\\\=
17
.\end{array}