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

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

Evaluate

$$-\frac{5}{3}\approx -1.666666667$$

Solution Steps

Calculate -1 to the power of 3 and get -1.

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

Multiply -\frac{1}{3} and -1 to get \frac{1}{3}.

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

Calculate -1 to the power of 2 and get 1.

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

Convert 1 to fraction \frac{3}{3}.

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

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

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

Add 1 and 3 to get 4.

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

Multiply 3 and -1 to get -3.

$$\frac{4}{3}-3$$

Convert 3 to fraction \frac{9}{3}.

$$\frac{4}{3}-\frac{9}{3}$$

Since \frac{4}{3} and \frac{9}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-9}{3}$$

Subtract 9 from 4 to get -5.

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

Factor

$$-\frac{5}{3} = -1\frac{2}{3} = -1.6666666666666667$$