To simplify the expression \(\frac{3^0}{3^{-6}}\), we can use the property of exponents which states that \(\frac{a^m}{a^n} = a^{m-n}\).
Here, we have:
\[ \frac{3^0}{3^{-6}} = 3^{0 - (-6)} = 3^{0 + 6} = 3^6 \]
Thus, the expression is equivalent to \(3^6\).
From the multiple choice answers provided, the correct answer is:
\(3^{6}\).