Solve (38*10^8)^3/(273*24*3600)^2=

$$\frac { ( 38 \times 10 ^ { 8 } ) ^ { 3 } } { ( 273 \times 24 \times 3600 ) ^ { 2 } } =$$

Evaluate

$$\frac{5358593750000000000000}{54331641}\approx 9.862749682 \cdot 10^{13}$$

Solution Steps

Calculate 10 to the power of 8 and get 100000000.

$$\frac{\left(38\times 100000000\right)^{3}}{\left(273\times 24\times 3600\right)^{2}}$$

Multiply 38 and 100000000 to get 3800000000.

$$\frac{3800000000^{3}}{\left(273\times 24\times 3600\right)^{2}}$$

Calculate 3800000000 to the power of 3 and get 54872000000000000000000000000.

$$\frac{54872000000000000000000000000}{\left(273\times 24\times 3600\right)^{2}}$$

Multiply 273 and 24 to get 6552.

$$\frac{54872000000000000000000000000}{\left(6552\times 3600\right)^{2}}$$

Multiply 6552 and 3600 to get 23587200.

$$\frac{54872000000000000000000000000}{23587200^{2}}$$

Calculate 23587200 to the power of 2 and get 556356003840000.

$$\frac{54872000000000000000000000000}{556356003840000}$$

Reduce the fraction \frac{54872000000000000000000000000}{556356003840000} to lowest terms by extracting and canceling out 10240000.

$$\frac{5358593750000000000000}{54331641}$$

Factor

$$\frac{2 ^ {13} \cdot 5 ^ {20} \cdot 19 ^ {3}}{3 ^ {8} \cdot 7 ^ {2} \cdot 13 ^ {2}} = 98627496820867\frac{13150357}{54331641} = 98627496820867.23$$