What is the value of (9^3 \div 9^2)?
Answer and explanation
Correct answer: 9
When powers with the same base are divided, subtract the exponents: \(9^3 \div 9^2 = 9^{3-2} = 9^1 = 9\). Therefore, the correct answer is 9. The value 81 is \(9^2\) and may result from using the exponents incorrectly. Exam tip: use \(a^m \div a^n = a^{m-n}\) only when the bases are the same and non-zero.
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, subtract the exponents: \(9^3 \div 9^2 = 9^{3-2} = 9^1 = 9\). Therefore, the correct answer is 9. The value 81 is \(9^2\) and may result from using the exponents incorrectly. Exam tip: use \(a^m \div a^n = a^{m-n}\) only when the bases are the same and non-zero.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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