What is the simplification of the expression 6² ÷ (2² + 15 - 3 - [6 ÷ 2]) x 1 + 3³?

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To simplify the expression 6² ÷ (2² + 15 - 3 - [6 ÷ 2]) x 1 + 3³, we will break it down step-by-step and compute the correct value.

First, calculate 6 squared:

  • 6² = 36.

Next, compute the innermost expression inside the parentheses:

  • 6 ÷ 2 = 3.

Now, the expression simplifies to:

36 ÷ (2² + 15 - 3 - 3) x 1 + 3³.

Calculate 2 squared:

  • 2² = 4.

Now substitute that back into the expression:

36 ÷ (4 + 15 - 3 - 3) x 1 + 3³.

Now continue simplifying inside the parentheses:

4 + 15 = 19,

19 - 3 = 16,

16 - 3 = 13.

Thus, we have:

36 ÷ 13 x 1 + 3³.

Next, calculate 3 cubed:

  • 3³ = 27.

Now the expression is:

36 ÷ 13 x 1 + 27.

Since multiplying by 1 does not

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