Solve 4*314*149400000^2/365^2

$$\frac{ 4 \times 314 \times { 149400000 }^{ 2 } }{ { 365 }^{ 2 } }$$

Evaluate

$$\frac{1121374886400000000}{5329}\approx 2.104287646 \cdot 10^{14}$$

Solution Steps

Multiply 4 and 314 to get 1256.

$$\frac{1256\times 149400000^{2}}{365^{2}}$$

Calculate 149400000 to the power of 2 and get 22320360000000000.

$$\frac{1256\times 22320360000000000}{365^{2}}$$

Multiply 1256 and 22320360000000000 to get 28034372160000000000.

$$\frac{28034372160000000000}{365^{2}}$$

Calculate 365 to the power of 2 and get 133225.

$$\frac{28034372160000000000}{133225}$$

Reduce the fraction \frac{28034372160000000000}{133225} to lowest terms by extracting and canceling out 25.

$$\frac{1121374886400000000}{5329}$$

Factor

$$\frac{2 ^ {15} \cdot 3 ^ {4} \cdot 5 ^ {8} \cdot 83 ^ {2} \cdot 157}{73 ^ {2}} = 210428764571214\frac{594}{5329} = 210428764571214.12$$