What is the correct answer to the following expression using the proper order of operations? 2 x (18 - 14)^2 + 6

Rationale

38

To solve the expression 2 x (18 - 14)^2 + 6, we need to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

A (22) YOUR ANSWER

Calculating the expression as 2 x (18 - 14)^2 + 6 leads to incorrect results. If one mistakenly only adds 6 to the outcome after multiplying without properly evaluating the exponent, it could yield this result, but it fails to follow the correct order of operations.

B (28) YOUR ANSWER

This option might arise from an incorrect calculation, potentially by miscalculating the exponent or misapplying addition after multiplication. Each step in the order of operations must be strictly followed to arrive at the correct outcome, which is not achieved here.

C (38) CORRECT

The correct evaluation starts with the parentheses: (18 - 14) = 4. Next, we square that result: 4^2 = 16. Then, we multiply by 2: 2 x 16 = 32. Finally, we add 6: 32 + 6 = 38. This calculation accurately follows the order of operations.

D (44) YOUR ANSWER

This choice results from miscalculating the addition or misunderstanding how to apply the order of operations. If one were to incorrectly add 6 prior to completing the multiplication, they might arrive at this figure, but it does not reflect the proper calculation sequence necessary for the expression.

Conclusion

In conclusion, the expression 2 x (18 - 14)^2 + 6 evaluates correctly to 38 when the order of operations is applied properly. Each step must be calculated sequentially, ensuring that parentheses and exponents are resolved before multiplication and addition, leading to the correct answer of 38.

What is the correct answer to the following expression using the proper order of operations? 2 x (18 - 14)^2 + 6

38

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