Solve 3.305+0.963*3.36+0.117*10.376-0.08*3.36^2+0.001*10.376^2-0.041*3.36*10.376

$$3.305+0.963 \cdot 3.36+0.117 \cdot 10.376-0.08 \times { 3.36 }^{ 2 } +0.001 \times { 10.376 }^{ 2 } -0.041 \cdot 3.36 \cdot 10.376$$

Evaluate

$$5.529767616$$

Solution Steps

Multiply 0.963 and 3.36 to get 3.23568.

$$3.305+3.23568+0.117\times 10.376-0.08\times 3.36^{2}+0.001\times 10.376^{2}-0.041\times 3.36\times 10.376$$

Add 3.305 and 3.23568 to get 6.54068.

$$6.54068+0.117\times 10.376-0.08\times 3.36^{2}+0.001\times 10.376^{2}-0.041\times 3.36\times 10.376$$

Multiply 0.117 and 10.376 to get 1.213992.

$$6.54068+1.213992-0.08\times 3.36^{2}+0.001\times 10.376^{2}-0.041\times 3.36\times 10.376$$

Add 6.54068 and 1.213992 to get 7.754672.

$$7.754672-0.08\times 3.36^{2}+0.001\times 10.376^{2}-0.041\times 3.36\times 10.376$$

Calculate 3.36 to the power of 2 and get 11.2896.

$$7.754672-0.08\times 11.2896+0.001\times 10.376^{2}-0.041\times 3.36\times 10.376$$

Multiply 0.08 and 11.2896 to get 0.903168.

$$7.754672-0.903168+0.001\times 10.376^{2}-0.041\times 3.36\times 10.376$$

Subtract 0.903168 from 7.754672 to get 6.851504.

$$6.851504+0.001\times 10.376^{2}-0.041\times 3.36\times 10.376$$

Calculate 10.376 to the power of 2 and get 107.661376.

$$6.851504+0.001\times 107.661376-0.041\times 3.36\times 10.376$$

Multiply 0.001 and 107.661376 to get 0.107661376.

$$6.851504+0.107661376-0.041\times 3.36\times 10.376$$

Add 6.851504 and 0.107661376 to get 6.959165376.

$$6.959165376-0.041\times 3.36\times 10.376$$

Multiply 0.041 and 3.36 to get 0.13776.

$$6.959165376-0.13776\times 10.376$$

Multiply 0.13776 and 10.376 to get 1.42939776.

$$6.959165376-1.42939776$$

Subtract 1.42939776 from 6.959165376 to get 5.529767616.

$$5.529767616$$

Factor

$$\frac{3691 \cdot 3 ^ {4} \cdot 17 ^ {2}}{2 ^ {3} \cdot 5 ^ {9}} = 5\frac{8277619}{15625000} = 5.529767616$$