Riješi (31/8)^12*(8/y)^11*(-2)^3

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

Procijeni

$$-\frac{59604644775390625}{y^{11}}$$

Koraci za rješenje

Pomnožite 3 i 8 da biste dobili 24.

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

Saberite 24 i 1 da biste dobili 25.

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

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

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

Da biste podigli \frac{8}{y} na potenciju, dignite brojnik i nazivnik na potenciju i zatim podijelite.

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

Izračunajte -2 stepen od 3 i dobijte -8.

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

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

$$-\frac{59604644775390625}{8589934592}\times \frac{8^{11}}{y^{11}}$$

Izračunajte 8 stepen od 11 i dobijte 8589934592.

$$-\frac{59604644775390625}{8589934592}\times \frac{8589934592}{y^{11}}$$

Pomnožite -\frac{59604644775390625}{8589934592} i \frac{8589934592}{y^{11}} tako što ćete pomnožiti brojilac s brojiocem i imenilac s imeniocem.

$$\frac{-59604644775390625\times 8589934592}{8589934592y^{11}}$$

Otkaži 8589934592 u brojiocu i imeniocu.

$$\frac{-59604644775390625}{y^{11}}$$

Proširi

$$-\frac{59604644775390625}{y^{11}}$$

Koraci za rješenje

Pomnožite 3 i 8 da biste dobili 24.

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

Saberite 24 i 1 da biste dobili 25.

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

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

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

Da biste podigli \frac{8}{y} na potenciju, dignite brojnik i nazivnik na potenciju i zatim podijelite.

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

Izračunajte -2 stepen od 3 i dobijte -8.

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

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

$$-\frac{59604644775390625}{8589934592}\times \frac{8^{11}}{y^{11}}$$

Izračunajte 8 stepen od 11 i dobijte 8589934592.

$$-\frac{59604644775390625}{8589934592}\times \frac{8589934592}{y^{11}}$$

Pomnožite -\frac{59604644775390625}{8589934592} i \frac{8589934592}{y^{11}} tako što ćete pomnožiti brojilac s brojiocem i imenilac s imeniocem.

$$\frac{-59604644775390625\times 8589934592}{8589934592y^{11}}$$

Otkaži 8589934592 u brojiocu i imeniocu.

$$\frac{-59604644775390625}{y^{11}}$$