The value of `64 :-2 xx (9 :- 3) xx 3 :- 9 - 32` is :

Options

A. 1
B. 0
C. `-1`
D. 2

Answer

To solve the expression \( 64 \div 2 \times (9 \div 3) \times 3 \div 9 - 32 \), we will follow the order of operations, often remembered by the acronym BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right)).

### Step-by-Step Solution:

1. **Identify the Expression**:
\[ 64 \div 2 \times (9 \div 3) \times 3 \div 9 - 32 \]

2. **Evaluate the Bracket**:
Calculate \( 9 \div 3 \):
\[ 9 \div 3 = 3 \]
Now substitute back into the expression:
\[ 64 \div 2 \times 3 \times 3 \div 9 - 32 \]

3. **Perform Division and Multiplication from Left to Right**:
- First, calculate \( 64 \div 2 \):
\[ 64 \div 2 = 32 \]
Now the expression becomes:
\[ 32 \times 3 \times 3 \div 9 - 32 \]

4. **Continue with Multiplication**:
- Next, calculate \( 32 \times 3 \):
\[ 32 \times 3 = 96 \]
Now the expression is:
\[ 96 \times 3 \div 9 - 32 \]

5. **Continue with Multiplication**:
- Now calculate \( 96 \times 3 \):
\[ 96 \times 3 = 288 \]
Now the expression is:
\[ 288 \div 9 - 32 \]

6. **Perform the Division**:
- Now calculate \( 288 \div 9 \):
\[ 288 \div 9 = 32 \]
Now the expression is:
\[ 32 - 32 \]

7. **Final Subtraction**:
- Finally, calculate \( 32 - 32 \):
\[ 32 - 32 = 0 \]

### Final Answer:
The value of the expression is \( 0 \).