What is the result of the expression: 3^3 - 2 × 5 + 1?

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To find the result of the expression (3^3 - 2 \times 5 + 1), we begin by following the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

First, we calculate the exponentiation:

[

3^3 = 27

]

Next, we handle the multiplication:

[

2 \times 5 = 10

]

Now, we can substitute these results back into the original expression. The expression now reads:

[

27 - 10 + 1

]

Continuing with subtraction and addition from left to right:

  1. First, subtract:

[

27 - 10 = 17

]

  1. Then, add:

[

17 + 1 = 18

]

Thus, the final result of the expression (3^3 - 2 \times 5 + 1) is 18. Therefore, the correct answer is 18, which is an option provided in the choices.

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