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

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

• A. 25.33
• B. 29.77
• C. 30.00
• D. 32.50

Answer: (B)

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

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