If (2^3)^2 * 2^x = 2^10, what is the value of x?

A 2

B 3

C 4

D 5

✓ Correct Answer: Option C

Using exponent rules, (2^3)^2 = 2^(3*2) = 2^6. So the equation becomes 2^6 * 2^x = 2^10. When multiplying powers with the same base, add the exponents: 2^(6+x) = 2^10. Therefore, 6 + x = 10, which means x = 4.

💡 Why is C) the correct answer?

The correct answer to the question "If (2^3)^2 * 2^x = 2^10, what is the value of x?" is Option C: 4.

The other options — A) 2, B) 3, D) 5 — are incorrect for this GMAT Exam Prep question. As explained above: Using exponent rules, (2^3)^2 = 2^(3*2) = 2^6. So the equation becomes 2^6 * 2^x = 2^10. When multiplying powers with the same base, add the exponents: 2^(6+x) = 2^10. Therefore, 6 + x = 10, which me…

📚 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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If (2^3)^2 * 2^x = 2^10, what is the value of x?

✓ Correct Answer: Option C

📚 About This GMAT Exam Prep Practice Question

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