Answer
$-24$
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:
$=[-16+(-3)^3+27]-[2^5+1-25]
\\=[-16+(-27)+27]-[32+1-25]
\\=(-43+27)-(33-25)
\\=-16-8
\\=-16+(-8)
\\=-24$
