Question

14 − {7 + 4 · 3 - [(-2)² · 2 - 6]}+ (2² + 6 - 5 · 3) + 3 - (5 - 2³ / 2) =

Answer 1

Answer: -6

Explanation:

1. Evaluate the expressions inside the innermost brackets and braces first:

`\((-2)^2 \cdot 2 - 6 = 4 \cdot 2 - 6 = 8 - 6 = 2\)`

So, the expression becomes:

`\(14 - \{7 + 4 \cdot 3 - 2\}+ (2^2 + 6 - 5 \cdot 3) + 3 - (5 - 2^3 / 2)\)`

2. Continue evaluating the expressions inside the braces:

`\(7 + 4 \cdot 3 - 2 = 7 + 12 - 2 = 17\)`

So, the expression becomes:

`\(14 - 17 + (2^2 + 6 - 5 \cdot 3) + 3 - (5 - 2^3 / 2)\)`

3. Now, evaluate the expressions inside the parentheses:

`\(2^2 + 6 - 5 \cdot 3 = 4 + 6 - 15 = -5\)`

`\(5 - 2^3 / 2 = 5 - 8 / 2 = 5 - 4 = 1\)`

So, the expression becomes:

`\(14 - 17 - 5 + 3 - 1\)`

4. Finally, perform the remaining operations:

`\(14 - 17 - 5 + 3 - 1 = -3 - 5 + 3 - 1 = -6\)`

So, the result of the expression is -6.