Riješi {left(31/8right)}^12{left(8/25right)}^11-2^3

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

Procijeni

$$-25$$

Koraci za rješenje

Pomnožite 3 i 8 da biste dobili 24.

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

Saberite 24 i 1 da biste dobili 25.

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

Izračunajte \frac{25}{8} stepen od 12 i dobijte \frac{59604644775390625}{68719476736}.

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

Izračunajte \frac{8}{25} stepen od 11 i dobijte \frac{8589934592}{2384185791015625}.

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

Pomnožite \frac{59604644775390625}{68719476736} i \frac{8589934592}{2384185791015625} da biste dobili \frac{25}{8}.

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

Izračunajte -2 stepen od 3 i dobijte -8.

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

Pomnožite \frac{25}{8} i -8 da biste dobili -25.

$$-25$$

Faktor

$$-25$$