Answer
$-188$
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
Apply the exponents first, and then multiply to obtain:
$=5(-27)-4(9)+6(-3)+1$
$=-135-36+(-18)+1$
Add/subtract from the left to the right to obtain:
$=-171+(-18)+1$
$=-189+1
\\=-188$
