1. **State the problem:** We want to find which expression is equivalent to $16 + 2 \cdot 36$. 2. **Calculate the original expression:** $$16 + 2 \cdot 36 = 16 + 72 = 88$$ 3. **Evaluate each option:** - F: $2^4 + 2^3 \cdot 3^2 = 16 + 8 \cdot 9 = 16 + 72 = 88$ - G: $2^3 + 2^3 \cdot 3^2 = 8 + 8 \cdot 9 = 8 + 72 = 80$ - H: $2^4 + 2^2 \cdot 3^2 = 16 + 4 \cdot 9 = 16 + 36 = 52$ - J: $2^3 + 2^2 \cdot 3^3 = 8 + 4 \cdot 27 = 8 + 108 = 116$ 4. **Compare results:** Only option F equals 88, which matches the original expression. **Final answer:** Option F is equivalent to $16 + 2 \cdot 36$.