Lahenda C_{5}(x/3)^5(9y)^5

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

Arvuta

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

Lahenduse etapid

Avaldise \frac{x}{3} astendamiseks astendage nii lugeja kui ka nimetaja ning seejärel tehke jagamistehe.

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

Laiendage \left(9y\right)^{5}.

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

Arvutage 5 aste 9 ja leidke 59049.

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

Avaldage C_{5}\times \frac{x^{5}}{3^{5}} ühe murdarvuna.

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

Avaldage \frac{C_{5}x^{5}}{3^{5}}\times 59049 ühe murdarvuna.

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

Avaldage \frac{C_{5}x^{5}\times 59049}{3^{5}}y^{5} ühe murdarvuna.

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

Arvutage 5 aste 3 ja leidke 243.

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

Jagage C_{5}x^{5}\times 59049y^{5} väärtusega 243, et leida C_{5}x^{5}\times 243y^{5}.

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

Laienda

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

Lahenduse etapid

Avaldise \frac{x}{3} astendamiseks astendage nii lugeja kui ka nimetaja ning seejärel tehke jagamistehe.

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

Laiendage \left(9y\right)^{5}.

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

Arvutage 5 aste 9 ja leidke 59049.

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

Avaldage C_{5}\times \frac{x^{5}}{3^{5}} ühe murdarvuna.

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

Avaldage \frac{C_{5}x^{5}}{3^{5}}\times 59049 ühe murdarvuna.

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

Avaldage \frac{C_{5}x^{5}\times 59049}{3^{5}}y^{5} ühe murdarvuna.

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

Arvutage 5 aste 3 ja leidke 243.

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

Jagage C_{5}x^{5}\times 59049y^{5} väärtusega 243, et leida C_{5}x^{5}\times 243y^{5}.

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