Solve 5.1^4+5.1^3+5.1^2/2

$$\frac{ { 5.1 }^{ 4 } + { 5.1 }^{ 3 } + { 5.1 }^{ 2 } }{ 2 }$$

Evaluate

$$417.59055$$

Solution Steps

Calculate 5.1 to the power of 4 and get 676.5201.

$$\frac{676.5201+5.1^{3}+5.1^{2}}{2}$$

Calculate 5.1 to the power of 3 and get 132.651.

$$\frac{676.5201+132.651+5.1^{2}}{2}$$

Add 676.5201 and 132.651 to get 809.1711.

$$\frac{809.1711+5.1^{2}}{2}$$

Calculate 5.1 to the power of 2 and get 26.01.

$$\frac{809.1711+26.01}{2}$$

Add 809.1711 and 26.01 to get 835.1811.

$$\frac{835.1811}{2}$$

Expand \frac{835.1811}{2} by multiplying both numerator and the denominator by 10000.

$$\frac{8351811}{20000}$$

Factor

$$\frac{19 \cdot 3 ^ {2} \cdot 13 ^ {2} \cdot 17 ^ {2}}{2 ^ {5} \cdot 5 ^ {4}} = 417\frac{11811}{20000} = 417.59055$$