1. The problem is to evaluate the summation $$\sum_{i=3}^6 2^i$$. 2. This means we need to find the sum of powers of 2 starting from $i=3$ up to $i=6$: $$2^3 + 2^4 + 2^5 + 2^6$$ 3. Calculate each term: - $2^3 = 8$ - $2^4 = 16$ - $2^5 = 32$ - $2^6 = 64$ 4. Add these values together: $$8 + 16 + 32 + 64 = 120$$ 5. Therefore, the value of the summation is $$\boxed{120}$$.