Solve (228*10^11)^3/(594*10^7)^2

$$\frac { ( 228 \times 10 ^ { 11 } ) ^ { 3 } } { ( 594 \times 10 ^ { 7 } ) ^ { 2 } }$$

Evaluate

$$\frac{1097440000000000000000000}{3267}\approx 3.359167432 \cdot 10^{20}$$

Solution Steps

Calculate 10 to the power of 11 and get 100000000000.

$$\frac{\left(228\times 100000000000\right)^{3}}{\left(594\times 10^{7}\right)^{2}}$$

Multiply 228 and 100000000000 to get 22800000000000.

$$\frac{22800000000000^{3}}{\left(594\times 10^{7}\right)^{2}}$$

Calculate 22800000000000 to the power of 3 and get 11852352000000000000000000000000000000000.

$$\frac{11852352000000000000000000000000000000000}{\left(594\times 10^{7}\right)^{2}}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{11852352000000000000000000000000000000000}{\left(594\times 10000000\right)^{2}}$$

Multiply 594 and 10000000 to get 5940000000.

$$\frac{11852352000000000000000000000000000000000}{5940000000^{2}}$$

Calculate 5940000000 to the power of 2 and get 35283600000000000000.

$$\frac{11852352000000000000000000000000000000000}{35283600000000000000}$$

Reduce the fraction \frac{11852352000000000000000000000000000000000}{35283600000000000000} to lowest terms by extracting and canceling out 10800000000000000.

$$\frac{1097440000000000000000000}{3267}$$

Factor

$$\frac{2 ^ {23} \cdot 5 ^ {19} \cdot 19 ^ {3}}{3 ^ {3} \cdot 11 ^ {2}} = 3.3591674318947042 \times 10^{20}\frac{1353}{3267} = 3.3591674318947042 \times 10^{20}$$