Question
What is (2^2)^4 (1 point) Responses 22 2 squared 26 2 to the 6th power 4 4 28
Answers
GPT-4o mini
To solve \((2^2)^4\), we can use the power of a power rule in exponents, which states that \((a^m)^n = a^{m \cdot n}\).
Applying this rule:
\[
(2^2)^4 = 2^{2 \cdot 4} = 2^8
\]
Now, we can calculate \(2^8\):
\[
2^8 = 256
\]
However, none of the available responses match \(256\). The closest step we can verify is that \( (2^2)^4 = 2^8 \), which is indeed accurate but does not appear to correlate with the options presented.
Based on what we know and see in your options, the correct exponential representation of the original expression is \(2^8\), but if you must choose from the given options, please provide clarification or check the options again.
Applying this rule:
\[
(2^2)^4 = 2^{2 \cdot 4} = 2^8
\]
Now, we can calculate \(2^8\):
\[
2^8 = 256
\]
However, none of the available responses match \(256\). The closest step we can verify is that \( (2^2)^4 = 2^8 \), which is indeed accurate but does not appear to correlate with the options presented.
Based on what we know and see in your options, the correct exponential representation of the original expression is \(2^8\), but if you must choose from the given options, please provide clarification or check the options again.