Solve 5.2^4+5.2^3+5.2^2/2

$$\frac{ { 5.2 }^{ 4 } + { 5.2 }^{ 3 } + { 5.2 }^{ 2 } }{ 2 }$$

Evaluate

$$449.4048$$

Solution Steps

Calculate 5.2 to the power of 4 and get 731.1616.

$$\frac{731.1616+5.2^{3}+5.2^{2}}{2}$$

Calculate 5.2 to the power of 3 and get 140.608.

$$\frac{731.1616+140.608+5.2^{2}}{2}$$

Add 731.1616 and 140.608 to get 871.7696.

$$\frac{871.7696+5.2^{2}}{2}$$

Calculate 5.2 to the power of 2 and get 27.04.

$$\frac{871.7696+27.04}{2}$$

Add 871.7696 and 27.04 to get 898.8096.

$$\frac{898.8096}{2}$$

Expand \frac{898.8096}{2} by multiplying both numerator and the denominator by 10000.

$$\frac{8988096}{20000}$$

Reduce the fraction \frac{8988096}{20000} to lowest terms by extracting and canceling out 32.

$$\frac{280878}{625}$$

Factor

$$\frac{2 \cdot 3 \cdot 277 \cdot 13 ^ {2}}{5 ^ {4}} = 449\frac{253}{625} = 449.4048$$