1. The problem asks for the value of the summation of $k^3$ where $k$ goes from 9 to 10. 2. The summation notation is written as $$\sum_{k=9}^{10} k^3$$ which means we add the cubes of 9 and 10. 3. Calculate each term: - $9^3 = 729$ - $10^3 = 1000$ 4. Add the results: $$729 + 1000 = 1729$$ 5. Therefore, the value of the summation is 1729.