Solve 4314^25*45^2

$$4 { 314 }^{ 2 } 5 \cdot { 45 }^{ 2 }$$

Evaluate

$$3993138000$$

Solution Steps

Calculate 314 to the power of 2 and get 98596.

$$4\times 98596\times 5\times 45^{2}$$

Multiply 4 and 98596 to get 394384.

$$394384\times 5\times 45^{2}$$

Multiply 394384 and 5 to get 1971920.

$$1971920\times 45^{2}$$

Calculate 45 to the power of 2 and get 2025.

$$1971920\times 2025$$

Multiply 1971920 and 2025 to get 3993138000.

$$3993138000$$

Factor

$$2^{4}\times 3^{4}\times 5^{3}\times 157^{2}$$