Final answer:
The value of the expression 2 [32 - (4-1) to the power of 3] is 10, after performing operations inside the parentheses, applying the exponent, subtracting, and then multiplying.
Step-by-step explanation:
The value of the expression 2 [32 - (4-1) to the power of 3] requires us to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). First, we evaluate the expression inside the parentheses (4-1), which equals 3. We then raise this result to the power of 3, resulting in 33, which is 27. The expression now is 2 [32 - 27]. Next, we subtract 27 from 32, getting 5. Finally, we multiply 2 by this result, giving us an answer of 10.