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

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

Evaluate

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

Solution Steps

Multiply 2 and 3 to get 6.

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

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}.

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

Add 729 and \frac{1}{4} to get \frac{2917}{4}.

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

Add \frac{2917}{4} and \frac{1}{4} to get \frac{1459}{2}.

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

Factor

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