Solve 2000*70/left(37.4+273right)^2-left(5.5+273right)^2

$$\frac{ 2000 \cdot 70 }{ { \left(37.4+273 \right) }^{ 2 } - { \left(5.5+273 \right) }^{ 2 } }$$

Evaluate

$$\frac{14000000}{1878591}\approx 7.452393842$$

Solution Steps

Multiply 2000 and 70 to get 140000.

$$\frac{140000}{\left(37.4+273\right)^{2}-\left(5.5+273\right)^{2}}$$

Add 37.4 and 273 to get 310.4.

$$\frac{140000}{310.4^{2}-\left(5.5+273\right)^{2}}$$

Calculate 310.4 to the power of 2 and get 96348.16.

$$\frac{140000}{96348.16-\left(5.5+273\right)^{2}}$$

Add 5.5 and 273 to get 278.5.

$$\frac{140000}{96348.16-278.5^{2}}$$

Calculate 278.5 to the power of 2 and get 77562.25.

$$\frac{140000}{96348.16-77562.25}$$

Subtract 77562.25 from 96348.16 to get 18785.91.

$$\frac{140000}{18785.91}$$

Expand \frac{140000}{18785.91} by multiplying both numerator and the denominator by 100.

$$\frac{14000000}{1878591}$$

Factor

$$\frac{7 \cdot 2 ^ {7} \cdot 5 ^ {6}}{3 \cdot 11 \cdot 13 \cdot 29 \cdot 151} = 7\frac{849863}{1878591} = 7.452393841980506$$