\((3 × (2×4^3)) ÷ 4 = \) _________.

We need to remember the order of operations (PEMDAS) to solve this question. First of all, we solve the problem inside the parentheses, and then the exponents. In this particular question, \(4^3\) is within the parentheses so we solve it first.
\(4^3 = 64\)
Now, multiplying it by 2 to solve what is inside the parentheses, it becomes \(64 × 2 = 128\).
So, the expression becomes \(3 × 128 ÷ 4\).
Following PEMDAS, we multiply 128 by 3 and then divide the answer by 4.
This gives us \(384 ÷ 4 = 96\).