What is the value of (2^8 \div 2^4)?
Answer and explanation
Correct answer: 16
When powers with the same base are divided, subtract the exponents: \(2^8 \div 2^4 = 2^{8-4} = 2^4 = 16\). Therefore, 16 is correct. Getting 8 would result from subtracting the exponents incorrectly or using \(2^3\). Exam tip: for division with the same base, use \(a^m \div a^n=a^{m-n}\).
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: \(2^8 \div 2^4 = 2^{8-4} = 2^4 = 16\). Therefore, 16 is correct. Getting 8 would result from subtracting the exponents incorrectly or using \(2^3\). Exam tip: for division with the same base, use \(a^m \div a^n=a^{m-n}\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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