🎓 CLEP Exam Prep

Simplify the expression: (2x³y⁻²)³

A 6x⁶y⁻⁶
B 8x⁹y⁻⁶
C 8x⁶y⁻⁵
D 2x⁹y⁻⁶

✓ Correct Answer: Option B

Apply the power to each factor: (2)³ * (x³)³ * (y⁻²)³. This results in 8 * x^(3*3) * y^(-2*3), which simplifies to 8x⁹y⁻⁶.

💡 Why is B) the correct answer?

The correct answer to the question "Simplify the expression: (2x³y⁻²)³" is Option B: 8x⁹y⁻⁶.

The other options — A) 6x⁶y⁻⁶, C) 8x⁶y⁻⁵, D) 2x⁹y⁻⁶ — are incorrect for this CLEP Exam Prep question. As explained above: Apply the power to each factor: (2)³ * (x³)³ * (y⁻²)³. This results in 8 * x^(3*3) * y^(-2*3), which simplifies to 8x⁹y⁻⁶.

📚 About This CLEP Exam Prep Practice Question

This 1-level CLEP Exam Prep question from the College Algebra topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free CLEP Exam Prep practice test or use flashcards for spaced repetition review.

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