What is the value of (4^6 \div 4^4)?
Answer and explanation
Correct answer: 16
When powers with the same base are divided, subtract the exponents: \(4^6 \div 4^4 = 4^{6-4} = 4^2 = 16\). Therefore, 16 is correct. The option 4 would result only if the difference of the exponents were 1. Exam tip: use \(a^m \div a^n = a^{m-n}\) only when the bases are the same and non-zero.
Frequently asked questions
What is the correct answer to this question?
16
Why is this the correct answer?
When powers with the same base are divided, subtract the exponents: \(4^6 \div 4^4 = 4^{6-4} = 4^2 = 16\). Therefore, 16 is correct. The option 4 would result only if the difference of the exponents were 1. Exam tip: use \(a^m \div a^n = a^{m-n}\) only when the bases are the same and non-zero.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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