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What is the value of (9^3 \div 9^1)?
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Answer and explanation
Correct answer: 81
When powers with the same base are divided, their exponents are subtracted: \(9^3 \div 9^1 = 9^{3-1}=9^2=81\). Therefore, option D is correct. Option A uses only the base, while option C is the value of \(9^3\) itself. Exam tip: remember the rule \(a^m \div a^n=a^{m-n}\).
Frequently asked questions
What is the correct answer to this question?
81
Why is this the correct answer?
When powers with the same base are divided, their exponents are subtracted: \(9^3 \div 9^1 = 9^{3-1}=9^2=81\). Therefore, option D is correct. Option A uses only the base, while option C is the value of \(9^3\) itself. Exam tip: remember the rule \(a^m \div a^n=a^{m-n}\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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