Solve -2^3+(pi-3.14)^0-(1-21/2)*(-1/2)^-1

$$- 2 ^ { 3 } + ( \pi - 3.14 ) ^ { 0 } - ( 1 - 2 \frac { 1 } { 2 } ) \times ( - \frac { 1 } { 2 } ) ^ { - 1 }$$

Evaluate

$$-10$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$-8+\left(\pi -3.14\right)^{0}-\left(1-\frac{2\times 2+1}{2}\right)\left(-\frac{1}{2}\right)^{-1}$$

Calculate \pi -3.14 to the power of 0 and get 1.

$$-8+1-\left(1-\frac{2\times 2+1}{2}\right)\left(-\frac{1}{2}\right)^{-1}$$

Add -8 and 1 to get -7.

$$-7-\left(1-\frac{2\times 2+1}{2}\right)\left(-\frac{1}{2}\right)^{-1}$$

Multiply 2 and 2 to get 4.

$$-7-\left(1-\frac{4+1}{2}\right)\left(-\frac{1}{2}\right)^{-1}$$

Add 4 and 1 to get 5.

$$-7-\left(1-\frac{5}{2}\right)\left(-\frac{1}{2}\right)^{-1}$$

Subtract \frac{5}{2} from 1 to get -\frac{3}{2}.

$$-7-\left(-\frac{3}{2}\left(-\frac{1}{2}\right)^{-1}\right)$$

Calculate -\frac{1}{2} to the power of -1 and get -2.

$$-7-\left(-\frac{3}{2}\left(-2\right)\right)$$

Multiply -\frac{3}{2} and -2 to get 3.

$$-7-3$$

Subtract 3 from -7 to get -10.

$$-10$$

Factor

$$-10$$