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What is the value of (3^6 \div 3^4)?
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Answer and explanation
Correct answer: 9
When powers with the same base are divided, their exponents are subtracted: 3^6 \div 3^4 = 3^{6-4} = 3^2 = 9. Therefore, 9 is correct. 27 is incorrect because it equals 3^3. Exam tip: remember that a^m \div a^n = a^{m-n}, where a ≠ 0.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
When powers with the same base are divided, their exponents are subtracted: 3^6 \div 3^4 = 3^{6-4} = 3^2 = 9. Therefore, 9 is correct. 27 is incorrect because it equals 3^3. Exam tip: remember that a^m \div a^n = a^{m-n}, where a ≠ 0.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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