The value of the expression
`7777 + 7777 xx 7777 xx (5 div 77) xx (11 div 35)` :

Options

A. 1234321
B. `12344321`
C. `7^(7777)`
D. None of these

Answer

To solve the expression \( 7777 + 7777 \times 7777 \times \left( \frac{5}{77} \right) \times \left( \frac{11}{35} \right) \), we will follow the order of operations (PEMDAS/BODMAS).

### Step-by-Step Solution:

1. **Identify the expression**:
\[ 7777 + 7777 \times 7777 \times \left( \frac{5}{77} \right) \times \left( \frac{11}{35} \right) \]

2. **Calculate the fractions**:
\[ \frac{5}{77} \quad \text{and} \quad \frac{11}{35} \]

3. **Multiply the fractions**:
\[ \frac{5}{77} \times \frac{11}{35} = \frac{5 \times 11}{77 \times 35} = \frac{55}{2695} \]

4. **Calculate \( 7777 \times 7777 \)**:
\[ 7777 \times 7777 = 7777^2 = 60481729 \]

5. **Multiply \( 7777^2 \) by \( \frac{55}{2695} \)**:
\[ 60481729 \times \frac{55}{2695} \]

To simplify, we can calculate:
\[ \frac{60481729 \times 55}{2695} \]

First, calculate \( 60481729 \times 55 \):
\[ 60481729 \times 55 = 3326499995 \]

Now divide by \( 2695 \):
\[ \frac{3326499995}{2695} \approx 1232343.321 \]

6. **Add \( 7777 \) to the result**:
\[ 7777 + 1232343.321 \approx 1230120.321 \]

7. **Final Result**:
The final value of the expression is approximately:
\[ 1230120.321 \]