Solve 4*(-2)-(-2)^3/3

$$4 \cdot ( - 2 ) - \frac { ( - 2 ) ^ { 3 } } { 3 }$$

Evaluate

$$-\frac{16}{3}\approx -5.333333333$$

Solution Steps

Multiply 4 and -2 to get -8.

$$-8-\frac{\left(-2\right)^{3}}{3}$$

Calculate -2 to the power of 3 and get -8.

$$-8-\frac{-8}{3}$$

Fraction \frac{-8}{3} can be rewritten as -\frac{8}{3} by extracting the negative sign.

$$-8-\left(-\frac{8}{3}\right)$$

The opposite of -\frac{8}{3} is \frac{8}{3}.

$$-8+\frac{8}{3}$$

Convert -8 to fraction -\frac{24}{3}.

$$-\frac{24}{3}+\frac{8}{3}$$

Since -\frac{24}{3} and \frac{8}{3} have the same denominator, add them by adding their numerators.

$$\frac{-24+8}{3}$$

Add -24 and 8 to get -16.

$$-\frac{16}{3}$$

Factor

$$-\frac{16}{3} = -5\frac{1}{3} = -5.333333333333333$$