To simplify the expression, follow the order of operations (parentheses, exponents, multiplication/division from left to right, and addition/subtraction from left to right):
27 - 3^2 + 4 * 2^2 - 6
Start with the exponentiation (3^2 and 2^2):
27 - 9 + 4 * 4 - 6
Perform the multiplications:
27 - 9 + 16 - 6
Now, perform the additions and subtractions from left to right:
(27 - 9) + 16 - 6
18 + 16 - 6
34 - 6
28
Therefore, the simplified expression is 28.
simplify: 27 - 3^2 + 4 . 2^2 - 6.
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