Define the operation $a\nabla b = 2 + b^a$. What is the value of $(1\nabla 2) \nabla 3$?
To find $(1\nabla 2) \nabla 3$, I need to first evaluate $1\nabla 2$ and then use that result as the first input for the second $\nabla$ operation. According to the definition, $1\nabla 2 = 2 + 2^1$, which simplifies to $2 + 2 = 4$. So now I have $4\nabla 3$. Again, following the definition, $4\nabla 3 = 2 + 3^4$, which simplifies to $2 + 81 = 83$. Therefore, $(1\nabla 2) \nabla 3 = 83$. 