Final answer:
The value of the expression (4-2)³-3×4 is calculated using PEMDAS, leading to the final answer of -4. Therefore correct option is B
Step-by-step explanation:
The value of the expression (4-2)³-3×4 can be calculated using the order of operations, which is parentheses, exponents, multiplication, and subtraction (PEMDAS).
First, calculate the expression within the parentheses (4 - 2), which equals 2.
Next, apply the exponent by raising 2 to the power of 3, resulting in 2³ = 8.
Following this, perform the multiplication: 3×4 = 12.
Finally, subtract the product from the value obtained after raising to the power: 8 - 12 = -4.
Hence, the value of the expression is -4, which corresponds to option b.