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What is the value of 2(7+3)^2?

  1. 3

  2. 6

  3. 38

  4. 200

The correct answer is: 200

This question requires the application of the order of operations, or PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). The parentheses should be evaluated first, giving us 2(10)^2. The next step is to solve for the exponent, giving us 2(100). Finally, we multiply the 2 and 100, giving us a final answer of 200. The incorrect answers may have been chosen by not following the correct order of operations or mistaking the exponent for a multiplication. Option A and B do not show the correct use of parentheses or exponents. Option C does not perform the correct multiplication.