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What is the value of (3^4\times3^2\div3^5)?
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Answer and explanation
Correct answer: 3
For powers with the same base, exponents are added during multiplication and subtracted during division. Thus, \(3^4\times3^2\div3^5=3^{4+2-5}=3^1=3\). Therefore, option B is correct. Exam tip: apply these exponent laws directly only when the bases are the same.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
For powers with the same base, exponents are added during multiplication and subtracted during division. Thus, \(3^4\times3^2\div3^5=3^{4+2-5}=3^1=3\). Therefore, option B is correct. Exam tip: apply these exponent laws directly only when the bases are the same.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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