Solve 2,2*1600^3/3*220*9,24*10^6

$$\frac { 2,2 \cdot 1600 ^ { 3 } } { 3 \cdot 220 \cdot 9,24 \cdot 10 ^ { 6 } }$$

Evaluate

$$\frac{1024}{693}\approx 1,477633478$$

Solution Steps

Calculate 1600 to the power of 3 and get 4096000000.

$$\frac{2,2\times 4096000000}{3\times 220\times 9,24\times 10^{6}}$$

Multiply 2,2 and 4096000000 to get 9011200000.

$$\frac{9011200000}{3\times 220\times 9,24\times 10^{6}}$$

Multiply 3 and 220 to get 660.

$$\frac{9011200000}{660\times 9,24\times 10^{6}}$$

Multiply 660 and 9,24 to get 6098,4.

$$\frac{9011200000}{6098,4\times 10^{6}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{9011200000}{6098,4\times 1000000}$$

Multiply 6098,4 and 1000000 to get 6098400000.

$$\frac{9011200000}{6098400000}$$

Reduce the fraction \frac{9011200000}{6098400000} to lowest terms by extracting and canceling out 8800000.

$$\frac{1024}{693}$$

Factor

$$\frac{2 ^ {10}}{7 \cdot 11 \cdot 3 ^ {2}} = 1\frac{331}{693} = 1.4776334776334776$$