Whakaoti i te (frac{-21x^{12}y^6}{7x^17y^-2})^3

$$( \frac { - 21 x ^ { 12 } y ^ { 6 } } { 7 x ^ { 17 } y ^ { - 2 } } ) ^ { 3 }$$

Aromātai

$$-\frac{27y^{24}}{x^{15}}$$

Ngā Upane Otinga

Me whakakore tahi te 7x^{12} i te taurunga me te tauraro.

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

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

$$\left(\frac{-3y^{8}}{x^{5}}\right)^{3}$$

Kia whakarewa i te \frac{-3y^{8}}{x^{5}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(-3y^{8}\right)^{3}}{\left(x^{5}\right)^{3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 5 me te 3 kia riro ai te 15.

$$\frac{\left(-3y^{8}\right)^{3}}{x^{15}}$$

Whakarohaina te \left(-3y^{8}\right)^{3}.

$$\frac{\left(-3\right)^{3}\left(y^{8}\right)^{3}}{x^{15}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 8 me te 3 kia riro ai te 24.

$$\frac{\left(-3\right)^{3}y^{24}}{x^{15}}$$

Tātaihia te -3 mā te pū o 3, kia riro ko -27.

$$\frac{-27y^{24}}{x^{15}}$$

Whakaroha

$$-\frac{27y^{24}}{x^{15}}$$

Ngā Upane Otinga

Me whakakore tahi te 7x^{12} i te taurunga me te tauraro.

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

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

$$\left(\frac{-3y^{8}}{x^{5}}\right)^{3}$$

Kia whakarewa i te \frac{-3y^{8}}{x^{5}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(-3y^{8}\right)^{3}}{\left(x^{5}\right)^{3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 5 me te 3 kia riro ai te 15.

$$\frac{\left(-3y^{8}\right)^{3}}{x^{15}}$$

Whakarohaina te \left(-3y^{8}\right)^{3}.

$$\frac{\left(-3\right)^{3}\left(y^{8}\right)^{3}}{x^{15}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 8 me te 3 kia riro ai te 24.

$$\frac{\left(-3\right)^{3}y^{24}}{x^{15}}$$

Tātaihia te -3 mā te pū o 3, kia riro ko -27.

$$\frac{-27y^{24}}{x^{15}}$$