Determine the result of the given mathematical expression: $6^{2}-(2-4)^{3}$

Step 1 ：First, solve the operation inside the parentheses: \(2-4 = -2\)

Step 2 ：Next, cube the result: \((-2)^{3} = -8\)

Step 3 ：Then, square 6: \(6^{2} = 36\)

Step 4 ：Finally, subtract the second result from the first one: \(36 - (-8) = 44\)

Step 5 ：Final Answer: The result of the given mathematical expression \(6^{2}-(2-4)^{3}\) is \(\boxed{44}\)