24. 2^3 * 27^(1/3) * 1^3
Answer: B
24
The expression evaluates to 24 when calculated correctly. Specifically, 2^3 equals 8, 27^(1/3) equals 3, and 1^3 equals 1, leading to a final multiplication of 8 * 3 * 1.
A) 54
Option A is incorrect because the calculation of the expression yields 24, not 54. Multiplying the values derived from the expression does not result in 54, indicating a misunderstanding of the operations involved.
B) 24
Option B is correct as it accurately reflects the result of the expression calculated. The individual components—2^3 = 8, 27^(1/3) = 3, and 1^3 = 1—when multiplied together (8 * 3 * 1) yield 24.
C) 72
Option C is incorrect because the calculations do not support this outcome. The multiplication of the evaluated components does not approach 72, thus demonstrating a miscalculation.
D) 18
Option D is also incorrect since the product of the evaluated expression does not equal 18. The correct multiplication of the components leads to 24, not 18, reflecting an error in the calculations.
Conclusion
The correct answer is 24, as it accurately represents the result of the expression 2^3 * 27^(1/3) * 1^3. All other options fail as they do not align with the proper calculations derived from the expression components. Thus, Option B is the only valid choice.