Final answer:
The first operation performed when simplifying the expression 10+(2*3^2-4*2) is Exponentiation, as per the order of operations PEMDAS.
Step-by-step explanation:
When simplifying the expression 10+(2*3^2-4*2), the operation performed first is Exponentiation. According to the order of operations, or PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right), one must address operations in this specific order. Since we have an exponent in the expression 3^2, this is the first operation we perform before moving on to any multiplications, such as 2*3^2 or 4*2, any subtraction, or any addition.