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