Solve 2^2+(-1/3)^0+(-1/3)^1

$$2 ^ { 2 } + ( - \frac { 1 } { 3 } ) ^ { 0 } + ( - \frac { 1 } { 3 } ) ^ { 1 }$$

Evaluate

$$\frac{14}{3}\approx 4.666666667$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$4+\left(-\frac{1}{3}\right)^{0}+\left(-\frac{1}{3}\right)^{1}$$

Calculate -\frac{1}{3} to the power of 0 and get 1.

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

Add 4 and 1 to get 5.

$$5+\left(-\frac{1}{3}\right)^{1}$$

Calculate -\frac{1}{3} to the power of 1 and get -\frac{1}{3}.

$$5-\frac{1}{3}$$

Subtract \frac{1}{3} from 5 to get \frac{14}{3}.

$$\frac{14}{3}$$

Factor

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$