Answer
$52$
Work Step by Step
Recall, in order to solve problems involving order of operations, we use the PEMDAS rule.
First Priority: P - parentheses and other grouping symbols
Second Priority: E - exponents
Third Priority: M/D - Multiplication or division, whichever comes first from the left to the right
Fourth Priority: A/S - Addition or subtraction, whichever comes first from the left to the right
We follow order of operations to obtain that the expression, $
-4(-3)^3+5(-2)^3-(4)^2
,$ simplifies to
\begin{array}{l}\require{cancel}
-4(-3)(-3)(-3)+5(-2)(-2)(-2)-(4)(4)
\\\\=
108-40-16
\\\\=
68-16
\\\\=
52
.\end{array}
