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What is the value of ((3^4\times3^2)\div9^2)?
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Answer and explanation
Correct answer: 9
For multiplication of powers with the same base, the exponents are added, so \(3^4\times3^2=3^6\). Also, \(9^2=(3^2)^2=3^4\). Therefore, \(3^6\div3^4=3^{6-4}=3^2=9\), so option C is correct. Exam tip: when dividing powers with the same base, subtract their exponents.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
For multiplication of powers with the same base, the exponents are added, so \(3^4\times3^2=3^6\). Also, \(9^2=(3^2)^2=3^4\). Therefore, \(3^6\div3^4=3^{6-4}=3^2=9\), so option C is correct. Exam tip: when dividing powers with the same base, subtract their exponents.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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