Solve 0.56^4-1.66^3+76^2+2

$$0.5 { 6 }^{ 4 } -1.6 { 6 }^{ 3 } +7 { 6 }^{ 2 } +2$$

Evaluate

$$556.4$$

Solution Steps

Calculate 6 to the power of 4 and get 1296.

$$0.5\times 1296-1.6\times 6^{3}+7\times 6^{2}+2$$

Multiply 0.5 and 1296 to get 648.

$$648-1.6\times 6^{3}+7\times 6^{2}+2$$

Calculate 6 to the power of 3 and get 216.

$$648-1.6\times 216+7\times 6^{2}+2$$

Multiply 1.6 and 216 to get 345.6.

$$648-345.6+7\times 6^{2}+2$$

Subtract 345.6 from 648 to get 302.4.

$$302.4+7\times 6^{2}+2$$

Calculate 6 to the power of 2 and get 36.

$$302.4+7\times 36+2$$

Multiply 7 and 36 to get 252.

$$302.4+252+2$$

Add 302.4 and 252 to get 554.4.

$$554.4+2$$

Add 554.4 and 2 to get 556.4.

$$556.4$$

Factor

$$\frac{2 \cdot 13 \cdot 107}{5} = 556\frac{2}{5} = 556.4$$