Resolver (6.75+(-4.5)*12/8)*(-11/8)^3

$$( 6.75 + ( - 4.5 ) \cdot 1 \frac { 2 } { 8 } ) \cdot ( - 1 \frac { 1 } { 8 } ) ^ { 3 }$$

Calcular

$$-1.601806640625$$

Pasos da solución

Multiplica 1 e 8 para obter 8.

$$\left(6.75-4.5\times \frac{8+2}{8}\right)\left(-\frac{1\times 8+1}{8}\right)^{3}$$

Suma 8 e 2 para obter 10.

$$\left(6.75-4.5\times \frac{10}{8}\right)\left(-\frac{1\times 8+1}{8}\right)^{3}$$

Reduce a fracción \frac{10}{8} a termos máis baixos extraendo e cancelando 2.

$$\left(6.75-4.5\times \frac{5}{4}\right)\left(-\frac{1\times 8+1}{8}\right)^{3}$$

Multiplica -4.5 e \frac{5}{4} para obter -\frac{45}{8}.

$$\left(6.75-\frac{45}{8}\right)\left(-\frac{1\times 8+1}{8}\right)^{3}$$

Resta \frac{45}{8} de 6.75 para obter \frac{9}{8}.

$$\frac{9}{8}\left(-\frac{1\times 8+1}{8}\right)^{3}$$

Multiplica 1 e 8 para obter 8.

$$\frac{9}{8}\left(-\frac{8+1}{8}\right)^{3}$$

Suma 8 e 1 para obter 9.

$$\frac{9}{8}\left(-\frac{9}{8}\right)^{3}$$

Calcula -\frac{9}{8} á potencia de 3 e obtén -\frac{729}{512}.

$$\frac{9}{8}\left(-\frac{729}{512}\right)$$

Multiplica \frac{9}{8} e -\frac{729}{512} para obter -\frac{6561}{4096}.

$$-\frac{6561}{4096}$$

Factorizar

$$-1.601806640625$$