What is the value of ((2^2)^4)?
Answer and explanation
Correct answer: 256
Using the exponent rule
\((a^m)^n=a^{mn}\), we get
\((2^2)^4=2^{2\times4}=2^8=256\). Therefore, 256 is the correct answer. A value such as 64 can result from applying the rule incorrectly; when a power is raised to another power, the exponents are multiplied. Exam tip: in
\((a^m)^n\), always multiply
\(m\) and
\(n\).
Frequently asked questions
What is the correct answer to this question?
256
Why is this the correct answer?
Using the exponent rule
\((a^m)^n=a^{mn}\), we get
\((2^2)^4=2^{2\times4}=2^8=256\). Therefore, 256 is the correct answer. A value such as 64 can result from applying the rule incorrectly; when a power is raised to another power, the exponents are multiplied. Exam tip: in
\((a^m)^n\), always multiply
\(m\) and
\(n\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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