Solve 2(3)^3+3/(3)^2

$$2 ( 3 ) ^ { 3 } + \frac { 3 } { ( 3 ) ^ { 2 } }$$

Evaluate

$$\frac{163}{3}\approx 54.333333333$$

Solution Steps

Rewrite 3^{2} as 3\times 3. Cancel out 3 in both numerator and denominator.

$$2\times 3^{3}+\frac{1}{3}$$

Calculate 3 to the power of 3 and get 27.

$$2\times 27+\frac{1}{3}$$

Multiply 2 and 27 to get 54.

$$54+\frac{1}{3}$$

Convert 54 to fraction \frac{162}{3}.

$$\frac{162}{3}+\frac{1}{3}$$

Since \frac{162}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{162+1}{3}$$

Add 162 and 1 to get 163.

$$\frac{163}{3}$$

Factor

$$\frac{163}{3} = 54\frac{1}{3} = 54.333333333333336$$