Solve (0.65)(0.8)[(0.85)(21)(400^2-3096)+(400)(3096)]

$$( 0.65 ) ( 0.8 ) [ ( 0.85 ) ( 21 ) ( 400 ^ { 2 } - 3096 ) + ( 400 ) ( 3096 ) ]$$

Evaluate

$$2100350.928$$

Solution Steps

Multiply 0.65 and 0.8 to get 0.52.

$$0.52\left(0.85\times 21\left(400^{2}-3096\right)+400\times 3096\right)$$

Multiply 0.85 and 21 to get 17.85.

$$0.52\left(17.85\left(400^{2}-3096\right)+400\times 3096\right)$$

Calculate 400 to the power of 2 and get 160000.

$$0.52\left(17.85\left(160000-3096\right)+400\times 3096\right)$$

Subtract 3096 from 160000 to get 156904.

$$0.52\left(17.85\times 156904+400\times 3096\right)$$

Multiply 17.85 and 156904 to get 2800736.4.

$$0.52\left(2800736.4+400\times 3096\right)$$

Multiply 400 and 3096 to get 1238400.

$$0.52\left(2800736.4+1238400\right)$$

Add 2800736.4 and 1238400 to get 4039136.4.

$$0.52\times 4039136.4$$

Multiply 0.52 and 4039136.4 to get 2100350.928.

$$2100350.928$$

Factor

$$\frac{2 \cdot 3 \cdot 258919 \cdot 13 ^ {2}}{5 ^ {3}} = 2100350\frac{116}{125} = 2100350.928$$