What is the value of (8^5 \div 8^3)?
Answer and explanation
Correct answer: 64
When powers with the same base are divided, subtract the exponents: \(8^5 \div 8^3=8^{5-3}=8^2=64\). Therefore, 64 is correct. 512 is the value of \(8^3\), not the result after subtracting the exponents. 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?
64
Why is this the correct answer?
When powers with the same base are divided, subtract the exponents: \(8^5 \div 8^3=8^{5-3}=8^2=64\). Therefore, 64 is correct. 512 is the value of \(8^3\), not the result after subtracting the exponents. 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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