Rešite (31/8)^12*(8/25)^11*(-2)^3

$$( 3 \frac { 1 } { 8 } ) ^ { 12 } \times ( \frac { 8 } { 25 } ) ^ { 11 } \times ( - 2 ) ^ { 3 }$$

Ovrednoti

$$-25$$

Koraki rešitve

Pomnožite 3 in 8, da dobite 24.

$$\left(\frac{24+1}{8}\right)^{12}\times \left(\frac{8}{25}\right)^{11}\left(-2\right)^{3}$$

Seštejte 24 in 1, da dobite 25.

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

Izračunajte potenco \frac{25}{8} števila 12, da dobite \frac{59604644775390625}{68719476736}.

$$\frac{59604644775390625}{68719476736}\times \left(\frac{8}{25}\right)^{11}\left(-2\right)^{3}$$

Izračunajte potenco \frac{8}{25} števila 11, da dobite \frac{8589934592}{2384185791015625}.

$$\frac{59604644775390625}{68719476736}\times \frac{8589934592}{2384185791015625}\left(-2\right)^{3}$$

Pomnožite \frac{59604644775390625}{68719476736} in \frac{8589934592}{2384185791015625}, da dobite \frac{25}{8}.

$$\frac{25}{8}\left(-2\right)^{3}$$

Izračunajte potenco -2 števila 3, da dobite -8.

$$\frac{25}{8}\left(-8\right)$$

Pomnožite \frac{25}{8} in -8, da dobite -25.

$$-25$$

Faktoriziraj

$$-25$$