Solve 0.7*8*220*(27.3-2.8)^2+2*1/12*0.7*8*(100+5.6)^3

$$0.7 \times 8 \times 220 \times ( 27.3 - 2.8 ) ^ { 2 } + 2 \times \frac { 1 } { 12 } \times 0.7 \times 8 \times ( 100 + 5.6 ) ^ { 3 }$$

Evaluate

$$1838586.0416$$

Solution Steps

Multiply 0.7 and 8 to get 5.6.

$$5.6\times 220\left(27.3-2.8\right)^{2}+2\times \frac{1}{12}\times 0.7\times 8\left(100+5.6\right)^{3}$$

Multiply 5.6 and 220 to get 1232.

$$1232\left(27.3-2.8\right)^{2}+2\times \frac{1}{12}\times 0.7\times 8\left(100+5.6\right)^{3}$$

Subtract 2.8 from 27.3 to get 24.5.

$$1232\times 24.5^{2}+2\times \frac{1}{12}\times 0.7\times 8\left(100+5.6\right)^{3}$$

Calculate 24.5 to the power of 2 and get 600.25.

$$1232\times 600.25+2\times \frac{1}{12}\times 0.7\times 8\left(100+5.6\right)^{3}$$

Multiply 1232 and 600.25 to get 739508.

$$739508+2\times \frac{1}{12}\times 0.7\times 8\left(100+5.6\right)^{3}$$

Multiply 2 and \frac{1}{12} to get \frac{1}{6}.

$$739508+\frac{1}{6}\times 0.7\times 8\left(100+5.6\right)^{3}$$

Multiply \frac{1}{6} and 0.7 to get \frac{7}{60}.

$$739508+\frac{7}{60}\times 8\left(100+5.6\right)^{3}$$

Multiply \frac{7}{60} and 8 to get \frac{14}{15}.

$$739508+\frac{14}{15}\left(100+5.6\right)^{3}$$

Add 100 and 5.6 to get 105.6.

$$739508+\frac{14}{15}\times 105.6^{3}$$

Calculate 105.6 to the power of 3 and get 1177583.616.

$$739508+\frac{14}{15}\times 1177583.616$$

Multiply \frac{14}{15} and 1177583.616 to get \frac{686923776}{625}.

$$739508+\frac{686923776}{625}$$

Add 739508 and \frac{686923776}{625} to get \frac{1149116276}{625}.

$$\frac{1149116276}{625}$$

Factor

$$\frac{7 \cdot 11 \cdot 19 \cdot 179 \cdot 1097 \cdot 2 ^ {2}}{5 ^ {4}} = 1838586\frac{26}{625} = 1838586.0416$$