If $a * b = a^b + b^a$, for all positive integer values of $a$ and $b$, then what is the value of $2 * 6$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $a * b = a^b + b^a$, for all positive integer values of $a$ and $b$, then what is the value of $2 * 6$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
100
If $a * b = a^b + b^a$, for all positive integer values of $a$ and $b$, then what is the value of $2 * 6$?
train