Given that $x^2 + \frac{1}{x^2} = 7$, what is the value of $x^4 + \frac{1}{x^4}$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Given that $x^2 + \frac{1}{x^2} = 7$, what is the value of $x^4 + \frac{1}{x^4}$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
47
Given that $x^2 + \frac{1}{x^2} = 7$, what is the value of $x^4 + \frac{1}{x^4}$?
train