📊 GMAT Exam Prep

If 3^x = 81 and 4^y = 64, what is the value of x^y?

A 8
B 12
C 64
D 81

✓ Correct Answer: Option C

Since 81 = 3^4, then x = 4. Since 64 = 4^3, then y = 3. Therefore, x^y = 4^3 = 64.

💡 Why is C) the correct answer?

The correct answer to the question "If 3^x = 81 and 4^y = 64, what is the value of x^y?" is Option C: 64.

The other options — A) 8, B) 12, D) 81 — are incorrect for this GMAT Exam Prep question. As explained above: Since 81 = 3^4, then x = 4. Since 64 = 4^3, then y = 3. Therefore, x^y = 4^3 = 64.

📚 About This GMAT Exam Prep Practice Question

This 2-level GMAT Exam Prep question from the Quantitative Reasoning 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 GMAT Exam Prep practice test or use flashcards for spaced repetition review.

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