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

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

Avaliar

$$-12$$

Passos Para a Resolução

Multiplique 1 e 2 para obter 2.

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

Some 2 e 1 para obter 3.

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

Calcule -\frac{3}{2} elevado a 4 e obtenha \frac{81}{16}.

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

Multiplique 1 e 3 para obter 3.

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

Some 3 e 1 para obter 4.

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

Calcule -\frac{4}{3} elevado a 3 e obtenha -\frac{64}{27}.

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

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

$$-12$$

Fatorizar

$$-12$$