Simplify the expression (x^3 * y^-2) / (x^-1 * y^4).

A x^2 / y^6

B x^4 / y^6

C x^2 * y^2

D x^4 / y^2

✓ Correct Answer: Option B

Using exponent rules, x^3 / x^-1 = x^(3 - (-1)) = x^4, and y^-2 / y^4 = y^(-2 - 4) = y^-6 = 1/y^6. Combining these gives x^4 / y^6.

💡 Why is B) the correct answer?

The correct answer to the question "Simplify the expression (x^3 * y^-2) / (x^-1 * y^4)." is Option B: x^4 / y^6.

The other options — A) x^2 / y^6, C) x^2 * y^2, D) x^4 / y^2 — are incorrect for this CLEP Exam Prep question. As explained above: Using exponent rules, x^3 / x^-1 = x^(3 - (-1)) = x^4, and y^-2 / y^4 = y^(-2 - 4) = y^-6 = 1/y^6. Combining these gives x^4 / y^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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Simplify the expression (x^3 * y^-2) / (x^-1 * y^4).

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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