Solve 100div(-2)^2-(-2)div(-2/3)+(-2)^3

$$100 \div ( - 2 ) ^ { 2 } - ( - 2 ) \div ( - \frac { 2 } { 3 } ) + ( - 2 ) ^ { 3 }$$

Evaluate

$$14$$

Solution Steps

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

$$\frac{100}{4}-\frac{-2}{-\frac{2}{3}}+\left(-2\right)^{3}$$

Divide 100 by 4 to get 25.

$$25-\frac{-2}{-\frac{2}{3}}+\left(-2\right)^{3}$$

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

$$25-\left(-2\left(-\frac{3}{2}\right)\right)+\left(-2\right)^{3}$$

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

$$25-3+\left(-2\right)^{3}$$

Subtract 3 from 25 to get 22.

$$22+\left(-2\right)^{3}$$

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

$$22-8$$

Subtract 8 from 22 to get 14.

$$14$$

Factor

$$2\times 7$$