Answer
$-32$
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:
$=6(-2)^3-2(-2)^3
\\=6(-8)-2(-8)
\\=-48-(-16)
\\=-48+16
\\=-32$