Solve 00div(-2)^2-(-2)div(-2/3)+(-2)^3

$$00 \div ( - 2 ) ^ { 2 } - ( - 2 ) \div ( - \frac { 2 } { 3 } ) + ( - 2 ) ^ { 3 }$$

Evaluate

$$-11$$

Solution Steps

Multiply 0 and 0 to get 0.

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

Calculate -2 to the power of 2 and get 4.

$$\frac{0}{4}-\frac{-2}{-\frac{2}{3}}+\left(-2\right)^{3}$$

Zero divided by any non-zero number gives zero.

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

Divide -2 by -\frac{2}{3} by multiplying -2 by the reciprocal of -\frac{2}{3}.

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

Multiply -2 times -\frac{3}{2}.

$$0-3+\left(-2\right)^{3}$$

Subtract 3 from 0 to get -3.

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

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

$$-3-8$$

Subtract 8 from -3 to get -11.

$$-11$$

Factor

$$-11$$