- 3
- 5
- 6
- 8
Step-by-step solution
- Separate 2025 into convenient factors: 2025 = 81 × 25.
- Write each factor as a prime power: 81 = 3⁴ and 25 = 5². Therefore, 2025 = 3⁴ × 5².
- Compare with 3ᵐ × 5ⁿ: m = 4 and n = 2. Hence m + n = 4 + 2 = 6.
Remember: The exponents count how many times each prime factor occurs.






