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What is value of (3^{-1} \times 3^2)
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Answer and explanation
Correct answer: 3
When powers with the same base are multiplied, their exponents are added: \(3^{-1} \times 3^2 = 3^{-1+2} = 3^1 = 3\). Therefore, the correct answer is 3. Exam tip: do not add the bases; apply the law \(a^m \times a^n = a^{m+n}\).
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
When powers with the same base are multiplied, their exponents are added: \(3^{-1} \times 3^2 = 3^{-1+2} = 3^1 = 3\). Therefore, the correct answer is 3. Exam tip: do not add the bases; apply the law \(a^m \times a^n = a^{m+n}\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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