Atrisiniet [(3/5xy)^2:(3/5x)]^3:(3/5x)^2}:(3/5y^2)

$$[ ( \frac { 3 } { 5 } x y ) ^ { 2 } : ( \frac { 3 } { 5 } x ) ] ^ { 3 } : ( \frac { 3 } { 5 } x ) ^ { 2 } \} : ( \frac { 3 } { 5 } y ^ { 2 } )$$

Izrēķināt

$$\frac{3xy^{6}}{5}$$

Atrisinājuma darbības

Paplašiniet \left(\frac{3}{5}xy\right)^{2}.

$$\frac{\left(\frac{\left(\frac{3}{5}\right)^{2}x^{2}y^{2}}{\frac{3}{5}x}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Aprēķiniet \frac{3}{5} pakāpē 2 un iegūstiet \frac{9}{25}.

$$\frac{\left(\frac{\frac{9}{25}x^{2}y^{2}}{\frac{3}{5}x}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Saīsiniet x gan skaitītājā, gan saucējā.

$$\frac{\left(\frac{\frac{9}{25}xy^{2}}{\frac{3}{5}}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Daliet \frac{9}{25}xy^{2} ar \frac{3}{5}, reizinot \frac{9}{25}xy^{2} ar apgriezto daļskaitli \frac{3}{5} .

$$\frac{\left(\frac{\frac{9}{25}xy^{2}\times 5}{3}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Reiziniet \frac{9}{25} un 5, lai iegūtu \frac{9}{5}.

$$\frac{\left(\frac{\frac{9}{5}xy^{2}}{3}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Daliet \frac{9}{5}xy^{2} ar 3, lai iegūtu \frac{3}{5}xy^{2}.

$$\frac{\left(\frac{3}{5}xy^{2}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Paplašiniet \left(\frac{3}{5}xy^{2}\right)^{3}.

$$\frac{\left(\frac{3}{5}\right)^{3}x^{3}\left(y^{2}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Lai pakāpi kāpinātu citā pakāpē, sareiziniet kāpinātājus. Sareiziniet 2 un 3, lai iegūtu 6.

$$\frac{\left(\frac{3}{5}\right)^{3}x^{3}y^{6}}{\left(\frac{3}{5}x\right)^{2}}$$

Aprēķiniet \frac{3}{5} pakāpē 3 un iegūstiet \frac{27}{125}.

$$\frac{\frac{27}{125}x^{3}y^{6}}{\left(\frac{3}{5}x\right)^{2}}$$

Paplašiniet \left(\frac{3}{5}x\right)^{2}.

$$\frac{\frac{27}{125}x^{3}y^{6}}{\left(\frac{3}{5}\right)^{2}x^{2}}$$

Aprēķiniet \frac{3}{5} pakāpē 2 un iegūstiet \frac{9}{25}.

$$\frac{\frac{27}{125}x^{3}y^{6}}{\frac{9}{25}x^{2}}$$

Saīsiniet x^{2} gan skaitītājā, gan saucējā.

$$\frac{\frac{27}{125}xy^{6}}{\frac{9}{25}}$$

Daliet \frac{27}{125}xy^{6} ar \frac{9}{25}, reizinot \frac{27}{125}xy^{6} ar apgriezto daļskaitli \frac{9}{25} .

$$\frac{\frac{27}{125}xy^{6}\times 25}{9}$$

Reiziniet \frac{27}{125} un 25, lai iegūtu \frac{27}{5}.

$$\frac{\frac{27}{5}xy^{6}}{9}$$

Daliet \frac{27}{5}xy^{6} ar 9, lai iegūtu \frac{3}{5}xy^{6}.

$$\frac{3}{5}xy^{6}$$

Paplašināt

$$\frac{3xy^{6}}{5}$$

Atrisinājuma darbības

Paplašiniet \left(\frac{3}{5}xy\right)^{2}.

$$\frac{\left(\frac{\left(\frac{3}{5}\right)^{2}x^{2}y^{2}}{\frac{3}{5}x}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Aprēķiniet \frac{3}{5} pakāpē 2 un iegūstiet \frac{9}{25}.

$$\frac{\left(\frac{\frac{9}{25}x^{2}y^{2}}{\frac{3}{5}x}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Saīsiniet x gan skaitītājā, gan saucējā.

$$\frac{\left(\frac{\frac{9}{25}xy^{2}}{\frac{3}{5}}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Daliet \frac{9}{25}xy^{2} ar \frac{3}{5}, reizinot \frac{9}{25}xy^{2} ar apgriezto daļskaitli \frac{3}{5} .

$$\frac{\left(\frac{\frac{9}{25}xy^{2}\times 5}{3}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Reiziniet \frac{9}{25} un 5, lai iegūtu \frac{9}{5}.

$$\frac{\left(\frac{\frac{9}{5}xy^{2}}{3}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Daliet \frac{9}{5}xy^{2} ar 3, lai iegūtu \frac{3}{5}xy^{2}.

$$\frac{\left(\frac{3}{5}xy^{2}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Paplašiniet \left(\frac{3}{5}xy^{2}\right)^{3}.

$$\frac{\left(\frac{3}{5}\right)^{3}x^{3}\left(y^{2}\right)^{3}}{\left(\frac{3}{5}x\right)^{2}}$$

Lai pakāpi kāpinātu citā pakāpē, sareiziniet kāpinātājus. Sareiziniet 2 un 3, lai iegūtu 6.

$$\frac{\left(\frac{3}{5}\right)^{3}x^{3}y^{6}}{\left(\frac{3}{5}x\right)^{2}}$$

Aprēķiniet \frac{3}{5} pakāpē 3 un iegūstiet \frac{27}{125}.

$$\frac{\frac{27}{125}x^{3}y^{6}}{\left(\frac{3}{5}x\right)^{2}}$$

Paplašiniet \left(\frac{3}{5}x\right)^{2}.

$$\frac{\frac{27}{125}x^{3}y^{6}}{\left(\frac{3}{5}\right)^{2}x^{2}}$$

Aprēķiniet \frac{3}{5} pakāpē 2 un iegūstiet \frac{9}{25}.

$$\frac{\frac{27}{125}x^{3}y^{6}}{\frac{9}{25}x^{2}}$$

Saīsiniet x^{2} gan skaitītājā, gan saucējā.

$$\frac{\frac{27}{125}xy^{6}}{\frac{9}{25}}$$

Daliet \frac{27}{125}xy^{6} ar \frac{9}{25}, reizinot \frac{27}{125}xy^{6} ar apgriezto daļskaitli \frac{9}{25} .

$$\frac{\frac{27}{125}xy^{6}\times 25}{9}$$

Reiziniet \frac{27}{125} un 25, lai iegūtu \frac{27}{5}.

$$\frac{\frac{27}{5}xy^{6}}{9}$$

Daliet \frac{27}{5}xy^{6} ar 9, lai iegūtu \frac{3}{5}xy^{6}.

$$\frac{3}{5}xy^{6}$$