Resolver (5)(-11/2)^4*(2/3)^4

$$( 5 ) ( - 1 \frac { 1 } { 2 } ) ^ { 4 } \times ( \frac { 2 } { 3 } ) ^ { 4 }$$

Calcular

$$5$$

Pasos da solución

Multiplica 1 e 2 para obter 2.

$$5\left(-\frac{2+1}{2}\right)^{4}\times \left(\frac{2}{3}\right)^{4}$$

Suma 2 e 1 para obter 3.

$$5\left(-\frac{3}{2}\right)^{4}\times \left(\frac{2}{3}\right)^{4}$$

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

$$5\times \frac{81}{16}\times \left(\frac{2}{3}\right)^{4}$$

Multiplica 5 e \frac{81}{16} para obter \frac{405}{16}.

$$\frac{405}{16}\times \left(\frac{2}{3}\right)^{4}$$

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

$$\frac{405}{16}\times \frac{16}{81}$$

Multiplica \frac{405}{16} e \frac{16}{81} para obter 5.

$$5$$

Factorizar

$$5$$