2^3 * 27^(1/3) * 1^3

Rationale

2^3 * 27^(1/3) * 1^3 equals 24.

To solve the expression, we first evaluate each component: \(2^3 = 8\), \(27^{1/3} = 3\), and \(1^3 = 1\). Multiplying these results together gives \(8 * 3 * 1 = 24\).

A (54) YOUR ANSWER

The choice of 54 may arise from incorrect calculations, such as mistakenly multiplying components or misinterpreting the cube root. The proper calculation yields 24, and 54 does not correspond to any correct combination of the components given in the expression.

B (24) CORRECT

This is the correct answer, derived from \(2^3 = 8\), \(27^{1/3} = 3\), and \(1^3 = 1\). Multiplying these values together results in \(8 * 3 * 1 = 24\), confirming that this is the accurate evaluation of the expression.

C (72) YOUR ANSWER

Choosing 72 suggests an error in multiplication or a misunderstanding of the cube root operation. The correct evaluation of the expression does not yield 72, as the factors involved do not combine to produce this value.

D (18) YOUR ANSWER

The selection of 18 indicates a possible miscalculation, perhaps from incorrectly evaluating one of the components or misapplying the order of operations. The actual computed result of the expression is 24, not 18.

Conclusion

The expression \(2^3 * 27^{1/3} * 1^3\) evaluates clearly to 24 through proper calculation of each component. The correct result is a product of \(2^3\), the cube root of 27, and the cube of 1, all of which combine to yield 24. The other options reflect common errors in arithmetic or misunderstanding of the operations involved.

2^3 * 27^(1/3) * 1^3

2^3 * 27^(1/3) * 1^3 equals 24.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test