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What is the value of (6^4 \div 6^2)?
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Answer and explanation
Correct answer: 36
When powers with the same base are divided, subtract the exponents: \(6^4 \div 6^2 = 6^{4-2}=6^2=36\). Therefore, 36 is correct. The value 6 is only \(6^1\), while 216 equals \(6^3\). Exam tip: remember \(a^m \div a^n=a^{m-n}\), where \(a\ne0\).
Frequently asked questions
What is the correct answer to this question?
36
Why is this the correct answer?
When powers with the same base are divided, subtract the exponents: \(6^4 \div 6^2 = 6^{4-2}=6^2=36\). Therefore, 36 is correct. The value 6 is only \(6^1\), while 216 equals \(6^3\). Exam tip: remember \(a^m \div a^n=a^{m-n}\), where \(a\ne0\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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