Answer
$-4$
Work Step by Step
Recall the acronym PEDMAS, which tells us the order of operations:
P: Parenthesis and other grouping symbols (including fraction bars)
E: Exponents
D/M: Division and Multiplication (from left to right)
A/S: Addition and Subtraction (from left to right)
Use the rule above to obtain:
$=\dfrac{(-2)^3-16}{2+16 \div 4}
\\=\dfrac{-8-16}{2+4}
\\=\dfrac{-24}{6}
\\=-4$