Solve 0.83*0.83*0.2*0.2+0.17*0.17*0.4*0.4-2*0.08*0.83*0.17

$$0.83 \cdot 0.83 \cdot 0.2 \cdot 0.2+0.17 \cdot 0.17 \cdot 0.4 \cdot 0.4-2 \cdot 0.08 \cdot 0.83 \cdot 0.17$$

Evaluate

$$0.009604$$

Solution Steps

Multiply 0.83 and 0.83 to get 0.6889.

$$0.6889\times 0.2\times 0.2+0.17\times 0.17\times 0.4\times 0.4-2\times 0.08\times 0.83\times 0.17$$

Multiply 0.6889 and 0.2 to get 0.13778.

$$0.13778\times 0.2+0.17\times 0.17\times 0.4\times 0.4-2\times 0.08\times 0.83\times 0.17$$

Multiply 0.13778 and 0.2 to get 0.027556.

$$0.027556+0.17\times 0.17\times 0.4\times 0.4-2\times 0.08\times 0.83\times 0.17$$

Multiply 0.17 and 0.17 to get 0.0289.

$$0.027556+0.0289\times 0.4\times 0.4-2\times 0.08\times 0.83\times 0.17$$

Multiply 0.0289 and 0.4 to get 0.01156.

$$0.027556+0.01156\times 0.4-2\times 0.08\times 0.83\times 0.17$$

Multiply 0.01156 and 0.4 to get 0.004624.

$$0.027556+0.004624-2\times 0.08\times 0.83\times 0.17$$

Add 0.027556 and 0.004624 to get 0.03218.

$$0.03218-2\times 0.08\times 0.83\times 0.17$$

Multiply 2 and 0.08 to get 0.16.

$$0.03218-0.16\times 0.83\times 0.17$$

Multiply 0.16 and 0.83 to get 0.1328.

$$0.03218-0.1328\times 0.17$$

Multiply 0.1328 and 0.17 to get 0.022576.

$$0.03218-0.022576$$

Subtract 0.022576 from 0.03218 to get 0.009604.

$$0.009604$$

Factor

$$\frac{7 ^ {4}}{2 ^ {4} \cdot 5 ^ {6}} = 0.009604$$