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What is the value of (7^4 \div 7^2)?
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Answer and explanation
Correct answer: 49
When powers with the same base are divided, subtract the exponents: \(7^4 \div 7^2 = 7^{4-2} = 7^2 = 49\). Therefore, 49 is correct. 343 is \(7^3\), so it does not result here. Exam tip: use \(a^m \div a^n = a^{m-n}\) only when the non-zero bases are the same.
Frequently asked questions
What is the correct answer to this question?
49
Why is this the correct answer?
When powers with the same base are divided, subtract the exponents: \(7^4 \div 7^2 = 7^{4-2} = 7^2 = 49\). Therefore, 49 is correct. 343 is \(7^3\), so it does not result here. Exam tip: use \(a^m \div a^n = a^{m-n}\) only when the non-zero 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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