Solve 1/12*0.7*8*500^3+2*0.7*8*(205+5.6)*(250+2.8)^3

$$\frac { 1 } { 12 } \times 0.7 \times 8 \times 500 ^ { 3 } + 2 \times 0.7 \times 8 \times ( 205 + 5.6 ) \times ( 250 + 2.8 ) ^ { 3 }$$

Evaluate

$$\frac{357802334864576}{9375}\approx 38165582385.554773333$$

Solution Steps

Multiply \frac{1}{12} and 0.7 to get \frac{7}{120}.

$$\frac{7}{120}\times 8\times 500^{3}+2\times 0.7\times 8\left(205+5.6\right)\left(250+2.8\right)^{3}$$

Multiply \frac{7}{120} and 8 to get \frac{7}{15}.

$$\frac{7}{15}\times 500^{3}+2\times 0.7\times 8\left(205+5.6\right)\left(250+2.8\right)^{3}$$

Calculate 500 to the power of 3 and get 125000000.

$$\frac{7}{15}\times 125000000+2\times 0.7\times 8\left(205+5.6\right)\left(250+2.8\right)^{3}$$

Multiply \frac{7}{15} and 125000000 to get \frac{175000000}{3}.

$$\frac{175000000}{3}+2\times 0.7\times 8\left(205+5.6\right)\left(250+2.8\right)^{3}$$

Multiply 2 and 0.7 to get 1.4.

$$\frac{175000000}{3}+1.4\times 8\left(205+5.6\right)\left(250+2.8\right)^{3}$$

Multiply 1.4 and 8 to get 11.2.

$$\frac{175000000}{3}+11.2\left(205+5.6\right)\left(250+2.8\right)^{3}$$

Add 205 and 5.6 to get 210.6.

$$\frac{175000000}{3}+11.2\times 210.6\left(250+2.8\right)^{3}$$

Multiply 11.2 and 210.6 to get 2358.72.

$$\frac{175000000}{3}+2358.72\left(250+2.8\right)^{3}$$

Add 250 and 2.8 to get 252.8.

$$\frac{175000000}{3}+2358.72\times 252.8^{3}$$

Calculate 252.8 to the power of 3 and get 16155901.952.

$$\frac{175000000}{3}+2358.72\times 16155901.952$$

Multiply 2358.72 and 16155901.952 to get 38107249052.22144.

$$\frac{175000000}{3}+38107249052.22144$$

Add \frac{175000000}{3} and 38107249052.22144 to get \frac{357802334864576}{9375}.

$$\frac{357802334864576}{9375}$$

Factor

$$\frac{16299304613 \cdot 2 ^ {6} \cdot 7 ^ {3}}{3 \cdot 5 ^ {5}} = 38165582385\frac{5201}{9375} = 38165582385.55477$$