\frac{1}{2}
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $x^{2y}= 4$ and $x = 4$, what is the value of $y$? Express your answer as a common fraction.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{1}{2}
If $x^{2y}= 4$ and $x = 4$, what is the value of $y$? Express your answer as a common fraction.
train