1. **Stating the problem:** We want to evaluate the sum $$\sum_{i=1}^{n} n^s$$ where $n$ and $s$ are constants and the index $i$ runs from 1 to $n$. 2. **Understanding the sum:** Notice that the term inside the sum, $n^s$, does not depend on the index $i$. This means each term in the sum is the same. 3. **Formula used:** When summing a constant $c$ over $n$ terms, the sum is simply $$\sum_{i=1}^n c = n \times c$$. 4. **Applying the formula:** Here, $c = n^s$, so $$\sum_{i=1}^n n^s = n \times n^s = n^{s+1}$$. 5. **Final answer:** The sum evaluates to $$\boxed{n^{s+1}}$$. This means adding $n^s$ exactly $n$ times results in $n^{s+1}$.