Riješi (31/8)^12*(8/7)^11*(-2)^3

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

Izračunaj

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

Koraci rješenja

Pomnožite 3 i 8 da biste dobili 24.

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

Dodajte 24 broju 1 da biste dobili 25.

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

Izračunajte koliko je 12 na \frac{25}{8} da biste dobili \frac{59604644775390625}{68719476736}.

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

Izračunajte koliko je 11 na \frac{8}{7} da biste dobili \frac{8589934592}{1977326743}.

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

Pomnožite \frac{59604644775390625}{68719476736} i \frac{8589934592}{1977326743} da biste dobili \frac{59604644775390625}{15818613944}.

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

Izračunajte koliko je 3 na -2 da biste dobili -8.

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

Pomnožite \frac{59604644775390625}{15818613944} i -8 da biste dobili -\frac{59604644775390625}{1977326743}.

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

Faktor

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