Following exponent laws, ${(3^k)}^6=3^{6k}$.  Because $3^{6k}=3^6$, we have $6k=6$, which, dividing by 6, solves to $k=\boxed{1}$.
Question:
Find $k$, if ${(3^k)}^6=3^6$.
Answer:
Let's think step by step.

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