Rešite C_{5}(x/3)^5(9y)^5

$$C _ { 5 } ( \frac { x } { 3 } ) ^ { 5 } ( 9 y ) ^ { 5 }$$

Ovrednoti

$$243C_{5}\left(xy\right)^{5}$$

Koraki rešitve

Če želite dobiti potenco vrednosti \frac{x}{3}, potencirajte števec in imenovalec, nato pa delite.

$$C_{5}\times \frac{x^{5}}{3^{5}}\times \left(9y\right)^{5}$$

Razčlenite \left(9y\right)^{5}.

$$C_{5}\times \frac{x^{5}}{3^{5}}\times 9^{5}y^{5}$$

Izračunajte potenco 9 števila 5, da dobite 59049.

$$C_{5}\times \frac{x^{5}}{3^{5}}\times 59049y^{5}$$

Izrazite C_{5}\times \frac{x^{5}}{3^{5}} kot enojni ulomek.

$$\frac{C_{5}x^{5}}{3^{5}}\times 59049y^{5}$$

Izrazite \frac{C_{5}x^{5}}{3^{5}}\times 59049 kot enojni ulomek.

$$\frac{C_{5}x^{5}\times 59049}{3^{5}}y^{5}$$

Izrazite \frac{C_{5}x^{5}\times 59049}{3^{5}}y^{5} kot enojni ulomek.

$$\frac{C_{5}x^{5}\times 59049y^{5}}{3^{5}}$$

Izračunajte potenco 3 števila 5, da dobite 243.

$$\frac{C_{5}x^{5}\times 59049y^{5}}{243}$$

Delite C_{5}x^{5}\times 59049y^{5} s/z 243, da dobite C_{5}x^{5}\times 243y^{5}.

$$C_{5}x^{5}\times 243y^{5}$$

Razširi

$$243C_{5}\left(xy\right)^{5}$$

Koraki rešitve

Če želite dobiti potenco vrednosti \frac{x}{3}, potencirajte števec in imenovalec, nato pa delite.

$$C_{5}\times \frac{x^{5}}{3^{5}}\times \left(9y\right)^{5}$$

Razčlenite \left(9y\right)^{5}.

$$C_{5}\times \frac{x^{5}}{3^{5}}\times 9^{5}y^{5}$$

Izračunajte potenco 9 števila 5, da dobite 59049.

$$C_{5}\times \frac{x^{5}}{3^{5}}\times 59049y^{5}$$

Izrazite C_{5}\times \frac{x^{5}}{3^{5}} kot enojni ulomek.

$$\frac{C_{5}x^{5}}{3^{5}}\times 59049y^{5}$$

Izrazite \frac{C_{5}x^{5}}{3^{5}}\times 59049 kot enojni ulomek.

$$\frac{C_{5}x^{5}\times 59049}{3^{5}}y^{5}$$

Izrazite \frac{C_{5}x^{5}\times 59049}{3^{5}}y^{5} kot enojni ulomek.

$$\frac{C_{5}x^{5}\times 59049y^{5}}{3^{5}}$$

Izračunajte potenco 3 števila 5, da dobite 243.

$$\frac{C_{5}x^{5}\times 59049y^{5}}{243}$$

Delite C_{5}x^{5}\times 59049y^{5} s/z 243, da dobite C_{5}x^{5}\times 243y^{5}.

$$C_{5}x^{5}\times 243y^{5}$$