Problem

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

Answer

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Answer

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

Steps

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 \(\boxed{44}\)

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