Solve (2.28*10^11)^3/(5.94*10^7)^2

$$\frac { ( 2.28 \times 10 ^ { 11 } ) ^ { 3 } } { ( 5.94 \times 10 ^ { 7 } ) ^ { 2 } }$$

Evaluate

$$\frac{10974400000000000000000}{3267}\approx 3.359167432 \cdot 10^{18}$$

Solution Steps

Calculate 10 to the power of 11 and get 100000000000.

$$\frac{\left(2.28\times 100000000000\right)^{3}}{\left(5.94\times 10^{7}\right)^{2}}$$

Multiply 2.28 and 100000000000 to get 228000000000.

$$\frac{228000000000^{3}}{\left(5.94\times 10^{7}\right)^{2}}$$

Calculate 228000000000 to the power of 3 and get 11852352000000000000000000000000000.

$$\frac{11852352000000000000000000000000000}{\left(5.94\times 10^{7}\right)^{2}}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{11852352000000000000000000000000000}{\left(5.94\times 10000000\right)^{2}}$$

Multiply 5.94 and 10000000 to get 59400000.

$$\frac{11852352000000000000000000000000000}{59400000^{2}}$$

Calculate 59400000 to the power of 2 and get 3528360000000000.

$$\frac{11852352000000000000000000000000000}{3528360000000000}$$

Reduce the fraction \frac{11852352000000000000000000000000000}{3528360000000000} to lowest terms by extracting and canceling out 1080000000000.

$$\frac{10974400000000000000000}{3267}$$

Factor

$$\frac{2 ^ {21} \cdot 5 ^ {17} \cdot 19 ^ {3}}{3 ^ {3} \cdot 11 ^ {2}} = 3.3591674318947047 \times 10^{18}\frac{3193}{3267} = 3.3591674318947047 \times 10^{18}$$