Resolver (-11/2)^4*(-11/3)^3=

$$( - 1 \frac { 1 } { 2 } ) ^ { 4 } \times ( - 1 \frac { 1 } { 3 } ) ^ { 3 } =$$

Calcular

$$-12$$

Pasos da solución

Multiplica 1 e 2 para obter 2.

$$\left(-\frac{2+1}{2}\right)^{4}\left(-\frac{1\times 3+1}{3}\right)^{3}$$

Suma 2 e 1 para obter 3.

$$\left(-\frac{3}{2}\right)^{4}\left(-\frac{1\times 3+1}{3}\right)^{3}$$

Calcula -\frac{3}{2} á potencia de 4 e obtén \frac{81}{16}.

$$\frac{81}{16}\left(-\frac{1\times 3+1}{3}\right)^{3}$$

Multiplica 1 e 3 para obter 3.

$$\frac{81}{16}\left(-\frac{3+1}{3}\right)^{3}$$

Suma 3 e 1 para obter 4.

$$\frac{81}{16}\left(-\frac{4}{3}\right)^{3}$$

Calcula -\frac{4}{3} á potencia de 3 e obtén -\frac{64}{27}.

$$\frac{81}{16}\left(-\frac{64}{27}\right)$$

Multiplica \frac{81}{16} e -\frac{64}{27} para obter -12.

$$-12$$

Factorizar

$$-12$$