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What is the value of (4^3 \div 4)?
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Answer and explanation
Correct answer: 16
Since \(4 = 4^1\), subtract the exponents when dividing powers with the same base: \(4^3 \div 4^1 = 4^{3-1} = 4^2 = 16\). Therefore, 16 is correct. The value 64 is \(4^3\) before dividing by 4. Exam tip: use \(a^m \div a^n = a^{m-n}\) for powers with the same base.
Frequently asked questions
What is the correct answer to this question?
16
Why is this the correct answer?
Since \(4 = 4^1\), subtract the exponents when dividing powers with the same base: \(4^3 \div 4^1 = 4^{3-1} = 4^2 = 16\). Therefore, 16 is correct. The value 64 is \(4^3\) before dividing by 4. Exam tip: use \(a^m \div a^n = a^{m-n}\) for powers with the same base.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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