If $n = 11$, then what is $\left(\frac{1}{4}\right)^{n+1} \cdot 2^{2n}$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $n = 11$, then what is $\left(\frac{1}{4}\right)^{n+1} \cdot 2^{2n}$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{1}{4}
If $n = 11$, then what is $\left(\frac{1}{4}\right)^{n+1} \cdot 2^{2n}$?
train