Solve (1.5*10^11)^3/365^2

$$\frac { ( 1.5 \times 10 ^ { 11 } ) ^ { 3 } } { 365 ^ { 2 } }$$

Evaluate

$$\frac{135000000000000000000000000000000}{5329}\approx 2.533308313 \cdot 10^{28}$$

Solution Steps

Calculate 10 to the power of 11 and get 100000000000.

$$\frac{\left(1.5\times 100000000000\right)^{3}}{365^{2}}$$

Multiply 1.5 and 100000000000 to get 150000000000.

$$\frac{150000000000^{3}}{365^{2}}$$

Calculate 150000000000 to the power of 3 and get 3375000000000000000000000000000000.

$$\frac{3375000000000000000000000000000000}{365^{2}}$$

Calculate 365 to the power of 2 and get 133225.

$$\frac{3375000000000000000000000000000000}{133225}$$

Reduce the fraction \frac{3375000000000000000000000000000000}{133225} to lowest terms by extracting and canceling out 25.

$$\frac{135000000000000000000000000000000}{5329}$$

Factor

$$\frac{2 ^ {30} \cdot 3 ^ {3} \cdot 5 ^ {31}}{73 ^ {2}} = 2.5333083130043157 \times 10^{28}\frac{2570}{5329} = 2.5333083130043157 \times 10^{28}$$