What is the value of \(2^3\times2^1\)?
Answer and explanation
Correct answer: 16
When powers with the same base are multiplied, their exponents are added: \(2^3\times2^1=2^{3+1}=2^4=16\). Therefore, the correct answer is 16. The value 8 is only \(2^3\); it does not include multiplication by \(2^1\). Exam tip: use \(a^m\times a^n=a^{m+n}\) only when the bases are the same.
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 multiplied, their exponents are added: \(2^3\times2^1=2^{3+1}=2^4=16\). Therefore, the correct answer is 16. The value 8 is only \(2^3\); it does not include multiplication by \(2^1\). Exam tip: use \(a^m\times a^n=a^{m+n}\) only when the bases are the same.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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