The expression \(3^{\sqrt{7}}\) cannot be simplified into a simpler form using integers or standard algebraic methods because \( \sqrt{7} \) is an irrational number.
However, you can express it in different forms if needed, such as:
\[ 3^{\sqrt{7}} \approx 3^{2.64575} \quad (\text{using } \sqrt{7} \approx 2.64575) \]
Calculating that value gives you an approximate numerical value:
\[ 3^{\sqrt{7}} \approx 15.588 \]
But as is, \(3^{\sqrt{7}}\) is already in its simplest form.