To simplify \( \frac{3^{17}}{3^{-2}} \), you can use the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \).
Applying this property:
\[ \frac{3^{17}}{3^{-2}} = 3^{17 - (-2)} = 3^{17 + 2} = 3^{19} \]
So, the simplified form is \( 3^{19} \).