Answer
$68$
Work Step by Step
The order of operations follow the following hierarchy (PEMDAS rule):
(i) Parentheses/grouping symbols
(ii) Exponents
(iii) Multiplication/Division, whichever comes first from the left
(iv) Addition/Subtraction, whichever comes first from the left
Use the rule above to obtain:
$=(-2)^2-(-4)^3
\\=4-(-64)
\\=4+64
\\=68$