Resolver -2^3+(pi-314)^0-(1-21/2)*(-1/2)^-1

$$- 2 ^ { 3 } + ( \pi - 314 ) ^ { 0 } - ( 1 - 2 \frac { 1 } { 2 } ) \times ( - \frac { 1 } { 2 } ) ^ { - 1 }$$

Avaliar

$$-10$$

Passos Para a Resolução

Calcule 2 elevado a 3 e obtenha 8.

$$-8+\left(\pi -314\right)^{0}-\left(1-\frac{2\times 2+1}{2}\right)\left(-\frac{1}{2}\right)^{-1}$$

Calcule \pi -314 elevado a 0 e obtenha 1.

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

Some -8 e 1 para obter -7.

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

Multiplique 2 e 2 para obter 4.

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

Some 4 e 1 para obter 5.

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

Subtraia \frac{5}{2} de 1 para obter -\frac{3}{2}.

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

Calcule -\frac{1}{2} elevado a -1 e obtenha -2.

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

Multiplique -\frac{3}{2} e -2 para obter 3.

$$-7-3$$

Subtraia 3 de -7 para obter -10.

$$-10$$

Fatorizar

$$-10$$