Simplify the expression: (2x⁻³y²)⁻²

A 4x⁶y⁻⁴

B (x⁶)/(4y⁴)

C (4y⁴)/(x⁶)

D (1)/(4x⁶y⁴)

✓ Correct Answer: Option B

Apply the power rule (a^m)^n = a^(mn) to each term: (2⁻²)(x^(-3)(-2))(y^(2)(-2)) = (1/4)(x⁶)(y⁻⁴). This simplifies to x⁶/(4y⁴).

💡 Why is B) the correct answer?

The correct answer to the question "Simplify the expression: (2x⁻³y²)⁻²" is Option B: (x⁶)/(4y⁴).

The other options — A) 4x⁶y⁻⁴, C) (4y⁴)/(x⁶), D) (1)/(4x⁶y⁴) — are incorrect for this CLEP Exam Prep question. As explained above: Apply the power rule (a^m)^n = a^(mn) to each term: (2⁻²)(x^(-3)(-2))(y^(2)(-2)) = (1/4)(x⁶)(y⁻⁴). This simplifies to x⁶/(4y⁴).

📚 About This CLEP Exam Prep Practice Question

This 2-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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Simplify the expression: (2x⁻³y²)⁻²

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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