What is the value of (3^2 \times 3^4)?
Answer and explanation
Correct answer: 729
When powers with the same base are multiplied, their exponents are added: \(3^2 \times 3^4 = 3^{2+4} = 3^6 = 729\). Therefore, 729 is correct. 243 equals \(3^5\), so it does not result from adding the exponents correctly. Exam tip: add exponents while multiplying like bases and subtract them while dividing.
Frequently asked questions
What is the correct answer to this question?
729
Why is this the correct answer?
When powers with the same base are multiplied, their exponents are added: \(3^2 \times 3^4 = 3^{2+4} = 3^6 = 729\). Therefore, 729 is correct. 243 equals \(3^5\), so it does not result from adding the exponents correctly. Exam tip: add exponents while multiplying like bases and subtract them while dividing.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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