Following exponent laws, ${(3^k)}^6=3^{6k}$.  Because $3^{6k}=3^6$, we have $6k=6$, which, dividing by 6, solves to $k=\boxed{1}$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find $k$, if ${(3^k)}^6=3^6$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1
Find $k$, if ${(3^k)}^6=3^6$.
test