x(5%5E4%2B5%5E6)x(3%5E3x3-9%5E2).jpeg "(7^5+7^9)x(5^4+5^6)x(3^3x3-9^2)")
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.