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

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

Evaluate

$$20$$

Solution Steps

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

$$\frac{100}{4}-\frac{-2}{-\frac{2}{3}}-2$$

Divide 100 by 4 to get 25.

$$25-\frac{-2}{-\frac{2}{3}}-2$$

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

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

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

$$25-3-2$$

Subtract 3 from 25 to get 22.

$$22-2$$

Subtract 2 from 22 to get 20.

$$20$$

Factor

$$2^{2}\times 5$$