Solve 45^2555/4x*14x444^2

$${ 45 }^{ 2 } \frac{ 555 }{ 4x } \times 14x { 444 }^{ 2 }$$

Evaluate

$$775446777000$$

Solution Steps

Calculate 45 to the power of 2 and get 2025.

$$2025\times \frac{555}{4x}\times 14x\times 444^{2}$$

Multiply 2025 and 14 to get 28350.

$$28350\times \frac{555}{4x}x\times 444^{2}$$

Calculate 444 to the power of 2 and get 197136.

$$28350\times \frac{555}{4x}x\times 197136$$

Multiply 28350 and 197136 to get 5588805600.

$$5588805600\times \frac{555}{4x}x$$

Express 5588805600\times \frac{555}{4x} as a single fraction.

$$\frac{5588805600\times 555}{4x}x$$

Cancel out 4 in both numerator and denominator.

$$\frac{555\times 1397201400}{x}x$$

Cancel out x and x.

$$555\times 1397201400$$

Multiply 555 and 1397201400 to get 775446777000.

$$775446777000$$

Factor

$$2^{3}\times 3^{7}\times 5^{3}\times 7\times 37^{3}$$