To simplify the expression \(\frac{3^6}{3^4}\), you can use the property of exponents which states that \(\frac{a^m}{a^n} = a^{m-n}\).
Applying this to your expression:
\[ \frac{3^6}{3^4} = 3^{6-4} = 3^2 \]
Thus, the simplified form is:
\[ 3^2 \]