`8-[28-:{34-(36-18-:9xx8)}]=` ?

Options

A. `6`
B. `6(4)/(9)`
C. -6
D. none of these

Answer

To solve the expression \( 8 - [28 - :{34 - (36 - 18 - :9 \times 8)}] \), we will follow the order of operations (often remembered by the acronym PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step-by-step Solution:

1. **Identify and Simplify the Innermost Bracket**:
- Start with the innermost expression: \( 36 - 18 - :9 \times 8 \).
- First, solve \( 18 \div 9 \):
\[ 18 \div 9 = 2 \]
- Now substitute back into the expression:
\[ 36 - 2 \times 8 \]

2. **Continue Simplifying**:
- Next, perform the multiplication:
\[ 2 \times 8 = 16 \]
- Substitute this back into the expression:
\[ 36 - 16 \]

3. **Final Calculation of the Innermost Bracket**:
- Now calculate \( 36 - 16 \):
\[ 36 - 16 = 20 \]

4. **Substitute Back into the Expression**:
- Now substitute \( 20 \) back into the larger expression:
\[ 8 - [28 - 20] \]

5. **Simplify the Bracket**:
- Calculate \( 28 - 20 \):
\[ 28 - 20 = 8 \]

6. **Final Calculation**:
- Now substitute back into the expression:
\[ 8 - 8 = 0 \]

### Final Answer:
\[ \text{The final result is } 0. \]