1. We are asked to evaluate the sum \( \sum_{i=2}^{3} 2^i \). 2. This means we need to calculate the values of \(2^2\) and \(2^3\) and then add them together. 3. Calculate \(2^2 = 4\). 4. Calculate \(2^3 = 8\). 5. Add these results: \(4 + 8 = 12\). 6. Therefore, the value of \( \sum_{i=2}^{3} 2^i \) is \(12\).