What is the value of (2^2\times2^4)?
Answer and explanation
Correct answer: 64
When powers with the same base are multiplied, their exponents are added: \(2^2\times2^4=2^{2+4}=2^6=64\). Therefore, 64 is correct. 16 is only the value of \(2^4\), so it misses multiplication by \(2^2\). Exam tip: For multiplication of like bases, add the exponents and retain the base.
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 multiplied, their exponents are added: \(2^2\times2^4=2^{2+4}=2^6=64\). Therefore, 64 is correct. 16 is only the value of \(2^4\), so it misses multiplication by \(2^2\). Exam tip: For multiplication of like bases, add the exponents and retain the base.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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