To simplify the expression \(\frac{t^{9}}{t^{2}}\), you can use the property of exponents that states \(\frac{a^m}{a^n} = a^{m-n}\).
Applying this property:
\[ \frac{t^{9}}{t^{2}} = t^{9-2} = t^{7} \]
So, the simplified expression is:
\[ t^{7} \]