Whakaoti i te [(x^-2)/(xy)^3]^15

$$[ \frac { ( x ^ { - 2 } ) } { ( x y ) ^ { 3 } } ] ^ { 15 }$$

Aromātai

$$\frac{1}{y^{45}x^{75}}$$

Ngā Upane Otinga

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

$$\left(\frac{x^{-2}}{x^{3}y^{3}}\right)^{15}$$

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te taurunga i te taupū o te tauraro.

$$\left(\frac{1}{y^{3}x^{5}}\right)^{15}$$

Kia whakarewa i te \frac{1}{y^{3}x^{5}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{1^{15}}{\left(y^{3}x^{5}\right)^{15}}$$

Tātaihia te 1 mā te pū o 15, kia riro ko 1.

$$\frac{1}{\left(y^{3}x^{5}\right)^{15}}$$

Whakarohaina te \left(y^{3}x^{5}\right)^{15}.

$$\frac{1}{\left(y^{3}\right)^{15}\left(x^{5}\right)^{15}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 15 kia riro ai te 45.

$$\frac{1}{y^{45}\left(x^{5}\right)^{15}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 5 me te 15 kia riro ai te 75.

$$\frac{1}{y^{45}x^{75}}$$

Whakaroha

$$\frac{1}{y^{45}x^{75}}$$

Ngā Upane Otinga

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

$$\left(\frac{x^{-2}}{x^{3}y^{3}}\right)^{15}$$

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te taurunga i te taupū o te tauraro.

$$\left(\frac{1}{y^{3}x^{5}}\right)^{15}$$

Kia whakarewa i te \frac{1}{y^{3}x^{5}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{1^{15}}{\left(y^{3}x^{5}\right)^{15}}$$

Tātaihia te 1 mā te pū o 15, kia riro ko 1.

$$\frac{1}{\left(y^{3}x^{5}\right)^{15}}$$

Whakarohaina te \left(y^{3}x^{5}\right)^{15}.

$$\frac{1}{\left(y^{3}\right)^{15}\left(x^{5}\right)^{15}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 15 kia riro ai te 45.

$$\frac{1}{y^{45}\left(x^{5}\right)^{15}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 5 me te 15 kia riro ai te 75.

$$\frac{1}{y^{45}x^{75}}$$