Whakaoti i te (-4m^{3}n^5)^2*(-1/2m^2n)^4

$$( - 4 m ^ { 3 } n ^ { 5 } ) ^ { 2 } \cdot ( \frac { - 1 } { 2 } m ^ { 2 } n ) ^ { 4 }$$

Aromātai

$$\left(mn\right)^{14}$$

Ngā Upane Otinga

Whakarohaina te \left(-4m^{3}n^{5}\right)^{2}.

$$\left(-4\right)^{2}\left(m^{3}\right)^{2}\left(n^{5}\right)^{2}\times \left(\frac{-1}{2}m^{2}n\right)^{4}$$

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

$$\left(-4\right)^{2}m^{6}\left(n^{5}\right)^{2}\times \left(\frac{-1}{2}m^{2}n\right)^{4}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 5 me te 2 kia riro ai te 10.

$$\left(-4\right)^{2}m^{6}n^{10}\times \left(\frac{-1}{2}m^{2}n\right)^{4}$$

Tātaihia te -4 mā te pū o 2, kia riro ko 16.

$$16m^{6}n^{10}\times \left(\frac{-1}{2}m^{2}n\right)^{4}$$

Ka taea te hautanga \frac{-1}{2} te tuhi anō ko -\frac{1}{2} mā te tango i te tohu tōraro.

$$16m^{6}n^{10}\left(-\frac{1}{2}m^{2}n\right)^{4}$$

Whakarohaina te \left(-\frac{1}{2}m^{2}n\right)^{4}.

$$16m^{6}n^{10}\left(-\frac{1}{2}\right)^{4}\left(m^{2}\right)^{4}n^{4}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 4 kia riro ai te 8.

$$16m^{6}n^{10}\left(-\frac{1}{2}\right)^{4}m^{8}n^{4}$$

Tātaihia te -\frac{1}{2} mā te pū o 4, kia riro ko \frac{1}{16}.

$$16m^{6}n^{10}\times \frac{1}{16}m^{8}n^{4}$$

Whakareatia te 16 ki te \frac{1}{16}, ka 1.

$$m^{6}n^{10}m^{8}n^{4}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 6 me te 8 kia riro ai te 14.

$$m^{14}n^{10}n^{4}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 10 me te 4 kia riro ai te 14.

$$m^{14}n^{14}$$

Whakaroha

$$\left(mn\right)^{14}$$

Ngā Upane Otinga

Whakarohaina te \left(-4m^{3}n^{5}\right)^{2}.

$$\left(-4\right)^{2}\left(m^{3}\right)^{2}\left(n^{5}\right)^{2}\times \left(\frac{-1}{2}m^{2}n\right)^{4}$$

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

$$\left(-4\right)^{2}m^{6}\left(n^{5}\right)^{2}\times \left(\frac{-1}{2}m^{2}n\right)^{4}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 5 me te 2 kia riro ai te 10.

$$\left(-4\right)^{2}m^{6}n^{10}\times \left(\frac{-1}{2}m^{2}n\right)^{4}$$

Tātaihia te -4 mā te pū o 2, kia riro ko 16.

$$16m^{6}n^{10}\times \left(\frac{-1}{2}m^{2}n\right)^{4}$$

Ka taea te hautanga \frac{-1}{2} te tuhi anō ko -\frac{1}{2} mā te tango i te tohu tōraro.

$$16m^{6}n^{10}\left(-\frac{1}{2}m^{2}n\right)^{4}$$

Whakarohaina te \left(-\frac{1}{2}m^{2}n\right)^{4}.

$$16m^{6}n^{10}\left(-\frac{1}{2}\right)^{4}\left(m^{2}\right)^{4}n^{4}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 4 kia riro ai te 8.

$$16m^{6}n^{10}\left(-\frac{1}{2}\right)^{4}m^{8}n^{4}$$

Tātaihia te -\frac{1}{2} mā te pū o 4, kia riro ko \frac{1}{16}.

$$16m^{6}n^{10}\times \frac{1}{16}m^{8}n^{4}$$

Whakareatia te 16 ki te \frac{1}{16}, ka 1.

$$m^{6}n^{10}m^{8}n^{4}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 6 me te 8 kia riro ai te 14.

$$m^{14}n^{10}n^{4}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 10 me te 4 kia riro ai te 14.

$$m^{14}n^{14}$$