## Simplifying the Expression (7^5+7^9)x(5^4+5^6)x(3^3x3-9^2)

Let's break down the expression step-by-step to simplify it:

### Simplifying Individual Components

**1. (7^5 + 7^9)**

**Factoring out 7^5:**We can factor out 7^5 from both terms: 7^5(1 + 7^4)**Simplifying:**7^5 (1 + 2401) = 7^5 * 2402

**2. (5^4 + 5^6)**

**Factoring out 5^4:**We can factor out 5^4 from both terms: 5^4(1 + 5^2)**Simplifying:**5^4 (1 + 25) = 5^4 * 26

**3. (3^3 x 3 - 9^2)**

**Simplifying exponents:**27 x 3 - 81**Calculating:**81 - 81 = 0

### Combining the Results

Now that we've simplified each component, let's put them back together:

(7^5 + 7^9) x (5^4 + 5^6) x (3^3 x 3 - 9^2) = (7^5 * 2402) x (5^4 * 26) x 0

**Since anything multiplied by 0 is 0, the entire expression simplifies to 0.**

### Conclusion

The expression (7^5+7^9)x(5^4+5^6)x(3^3x3-9^2) simplifies to **0** due to the last component being equal to zero.