Solucionar (31/8)^12*(8/7)^11*(-2)^3

$$( 3 \frac { 1 } { 8 } ) ^ { 12 } \times ( \frac { 8 } { 7 } ) ^ { 11 } \times ( - 2 ) ^ { 3 }$$

Calcular

$$-\frac{59604644775390625}{1977326743}\approx -30144054,333154096$$

Pasos de la solución

Multiplica 3 y 8 para obtener 24.

$$\left(\frac{24+1}{8}\right)^{12}\times \left(\frac{8}{7}\right)^{11}\left(-2\right)^{3}$$

Suma 24 y 1 para obtener 25.

$$\left(\frac{25}{8}\right)^{12}\times \left(\frac{8}{7}\right)^{11}\left(-2\right)^{3}$$

Calcula \frac{25}{8} a la potencia de 12 y obtiene \frac{59604644775390625}{68719476736}.

$$\frac{59604644775390625}{68719476736}\times \left(\frac{8}{7}\right)^{11}\left(-2\right)^{3}$$

Calcula \frac{8}{7} a la potencia de 11 y obtiene \frac{8589934592}{1977326743}.

$$\frac{59604644775390625}{68719476736}\times \frac{8589934592}{1977326743}\left(-2\right)^{3}$$

Multiplica \frac{59604644775390625}{68719476736} y \frac{8589934592}{1977326743} para obtener \frac{59604644775390625}{15818613944}.

$$\frac{59604644775390625}{15818613944}\left(-2\right)^{3}$$

Calcula -2 a la potencia de 3 y obtiene -8.

$$\frac{59604644775390625}{15818613944}\left(-8\right)$$

Multiplica \frac{59604644775390625}{15818613944} y -8 para obtener -\frac{59604644775390625}{1977326743}.

$$-\frac{59604644775390625}{1977326743}$$

Factorizar

$$-\frac{59604644775390625}{1977326743} = -30144054\frac{658754502}{1977326743} = -30144054,333154093$$