Solve 3^6+{left(1/2right)}^2+1/4

$${ 3 }^{ 6 } + { \left( \frac{ 1 }{ 2 } \right) }^{ 2 } + \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{1459}{2}=729.5$$

Solution Steps

Calculate 3 to the power of 6 and get 729.

$$729+\left(\frac{1}{2}\right)^{2}+\frac{1}{4}$$

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$729+\frac{1}{4}+\frac{1}{4}$$

Convert 729 to fraction \frac{2916}{4}.

$$\frac{2916}{4}+\frac{1}{4}+\frac{1}{4}$$

Since \frac{2916}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{2916+1}{4}+\frac{1}{4}$$

Add 2916 and 1 to get 2917.

$$\frac{2917}{4}+\frac{1}{4}$$

Since \frac{2917}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{2917+1}{4}$$

Add 2917 and 1 to get 2918.

$$\frac{2918}{4}$$

Reduce the fraction \frac{2918}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1459}{2}$$

Factor

$$\frac{1459}{2} = 729\frac{1}{2} = 729.5$$