Solve 0.01775/1+0.337*(18+2135)+0.000221*(18+21315)^2

$$\frac { 0.01775 } { 1 + 0.337 \times ( 18 + 2135 ) + 0.000221 \times ( 18 + 21315 ) ^ { 2 } }$$

Evaluate

$$\frac{17750}{101302973469}\approx 0.000000175$$

Solution Steps

Add 18 and 2135 to get 2153.

$$\frac{0.01775}{1+0.337\times 2153+0.000221\left(18+21315\right)^{2}}$$

Multiply 0.337 and 2153 to get 725.561.

$$\frac{0.01775}{1+725.561+0.000221\left(18+21315\right)^{2}}$$

Add 1 and 725.561 to get 726.561.

$$\frac{0.01775}{726.561+0.000221\left(18+21315\right)^{2}}$$

Add 18 and 21315 to get 21333.

$$\frac{0.01775}{726.561+0.000221\times 21333^{2}}$$

Calculate 21333 to the power of 2 and get 455096889.

$$\frac{0.01775}{726.561+0.000221\times 455096889}$$

Multiply 0.000221 and 455096889 to get 100576.412469.

$$\frac{0.01775}{726.561+100576.412469}$$

Add 726.561 and 100576.412469 to get 101302.973469.

$$\frac{0.01775}{101302.973469}$$

Expand \frac{0.01775}{101302.973469} by multiplying both numerator and the denominator by 1000000.

$$\frac{17750}{101302973469}$$

Factor

$$\frac{2 \cdot 71 \cdot 5 ^ {3}}{151 \cdot 211 \cdot 401 \cdot 881 \cdot 3 ^ {2}} = 1.7521696937584685 \times 10^{-7}$$