7. \( 2 \times(10-2) \div 2^{2} \)

Let’s break down the expression step by step for clarity! First, we handle the parentheses: \( 10 - 2 = 8 \). Then, we plug that back into the equation: \( 2 \times 8 \div 2^{2} \). Next, calculate \( 2^{2} \), which equals 4. Now we have \( 2 \times 8 \div 4 \). We can multiply first: \( 2 \times 8 = 16 \), and then divide: \( 16 \div 4 = 4 \). So, the final answer is \( 4 \)! Now, isn't that satisfying? Always remember to follow the order of operations, often remembered by the handy acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). It’s the secret sauce to solving mathematical puzzles without losing your mind!