Final answer:
The expression 24⋅((3⋅2)-1) simplifies to 4 after evaluating the calculations within the parentheses, taking the reciprocal of the result, and finally multiplying by 24. The correct answer is B. 4.
Step-by-step explanation:
To evaluate the expression 24⋅((3⋅2)-1), we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). First, we'll solve the expression within the parentheses, which is 3⋅2, giving us 6. Next, we take the reciprocal of 6 because of the exponent -1, which gives us 1/6. Lastly, we multiply the result by 24. The steps are as follows:
- Calculate the expression in parentheses: 3⋅2 = 6
- Take the reciprocal due to the exponent of -1: (6)^(-1) = 1/6
- Multiply by 24: 24⋅(1/6) = 24/6 = 4
The correct answer is B. 4.