Whakaoti i te [(3/5xy)^2:(3/5x)]^3:(3/5x)^2}:(3/5y^2)

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

Aromātai

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

Ngā Upane Otinga

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

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

Tātaihia te \frac{3}{5} mā te pū o 2, kia riro ko \frac{9}{25}.

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

Me whakakore tahi te x i te taurunga me te tauraro.

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

Whakawehe \frac{9}{25}xy^{2} ki te \frac{3}{5} mā te whakarea \frac{9}{25}xy^{2} ki te tau huripoki o \frac{3}{5}.

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

Whakareatia te \frac{9}{25} ki te 5, ka \frac{9}{5}.

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

Whakawehea te \frac{9}{5}xy^{2} ki te 3, kia riro ko \frac{3}{5}xy^{2}.

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

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

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

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 3 kia riro ai te 6.

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

Tātaihia te \frac{3}{5} mā te pū o 3, kia riro ko \frac{27}{125}.

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

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

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

Tātaihia te \frac{3}{5} mā te pū o 2, kia riro ko \frac{9}{25}.

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

Me whakakore tahi te x^{2} i te taurunga me te tauraro.

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

Whakawehe \frac{27}{125}xy^{6} ki te \frac{9}{25} mā te whakarea \frac{27}{125}xy^{6} ki te tau huripoki o \frac{9}{25}.

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

Whakareatia te \frac{27}{125} ki te 25, ka \frac{27}{5}.

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

Whakawehea te \frac{27}{5}xy^{6} ki te 9, kia riro ko \frac{3}{5}xy^{6}.

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

Whakaroha

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

Ngā Upane Otinga

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

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

Tātaihia te \frac{3}{5} mā te pū o 2, kia riro ko \frac{9}{25}.

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

Me whakakore tahi te x i te taurunga me te tauraro.

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

Whakawehe \frac{9}{25}xy^{2} ki te \frac{3}{5} mā te whakarea \frac{9}{25}xy^{2} ki te tau huripoki o \frac{3}{5}.

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

Whakareatia te \frac{9}{25} ki te 5, ka \frac{9}{5}.

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

Whakawehea te \frac{9}{5}xy^{2} ki te 3, kia riro ko \frac{3}{5}xy^{2}.

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

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

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

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 3 kia riro ai te 6.

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

Tātaihia te \frac{3}{5} mā te pū o 3, kia riro ko \frac{27}{125}.

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

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

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

Tātaihia te \frac{3}{5} mā te pū o 2, kia riro ko \frac{9}{25}.

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

Me whakakore tahi te x^{2} i te taurunga me te tauraro.

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

Whakawehe \frac{27}{125}xy^{6} ki te \frac{9}{25} mā te whakarea \frac{27}{125}xy^{6} ki te tau huripoki o \frac{9}{25}.

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

Whakareatia te \frac{27}{125} ki te 25, ka \frac{27}{5}.

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

Whakawehea te \frac{27}{5}xy^{6} ki te 9, kia riro ko \frac{3}{5}xy^{6}.

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