Question
Simplify. Your answer should be an integer. 4 to the power of 2 . 4 to the power of 2
Answers
GPT-4o mini
To simplify \( 4^{2} \cdot 4^{2} \), we can use the property of exponents that states \( a^{m} \cdot a^{n} = a^{m+n} \).
Here, we have:
\[
4^{2} \cdot 4^{2} = 4^{2+2} = 4^{4}
\]
Now, we calculate \( 4^{4} \):
\[
4^{4} = 4 \cdot 4 \cdot 4 \cdot 4
\]
Calculating step by step:
\[
4 \cdot 4 = 16
\]
Then:
\[
16 \cdot 4 = 64
\]
And finally:
\[
64 \cdot 4 = 256
\]
Thus, \( 4^{4} = 256 \).
The simplified answer is:
\[
\boxed{256}
\]
Here, we have:
\[
4^{2} \cdot 4^{2} = 4^{2+2} = 4^{4}
\]
Now, we calculate \( 4^{4} \):
\[
4^{4} = 4 \cdot 4 \cdot 4 \cdot 4
\]
Calculating step by step:
\[
4 \cdot 4 = 16
\]
Then:
\[
16 \cdot 4 = 64
\]
And finally:
\[
64 \cdot 4 = 256
\]
Thus, \( 4^{4} = 256 \).
The simplified answer is:
\[
\boxed{256}
\]