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((2^4)^3) equals which power?
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Answer and explanation
Correct answer: \(2^{12}\)
Using the power-of-a-power rule, \((a^m)^n=a^{mn}\). Therefore, \((2^4)^3=2^{4\times3}=2^{12}\), so option A is correct. Remember that the exponents are multiplied, not added; hence \(2^7\) in option B is incorrect.
Frequently asked questions
What is the correct answer to this question?
\(2^{12}\)
Why is this the correct answer?
Using the power-of-a-power rule, \((a^m)^n=a^{mn}\). Therefore, \((2^4)^3=2^{4\times3}=2^{12}\), so option A is correct. Remember that the exponents are multiplied, not added; hence \(2^7\) in option B is incorrect.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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