Whakaoti i te frac{(8x^{5}y^{7})^-2}{4^2x^-8y^5}

$$\frac { ( 8 x ^ { 5 } y ^ { 7 } ) ^ { - 2 } } { 4 ^ { 2 } x ^ { - 8 } y ^ { 5 } }$$

Aromātai

$$\frac{1}{1024x^{2}y^{19}}$$

Ngā Upane Otinga

Whakarohaina te \left(8x^{5}y^{7}\right)^{-2}.

$$\frac{8^{-2}\left(x^{5}\right)^{-2}\left(y^{7}\right)^{-2}}{4^{2}x^{-8}y^{5}}$$

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

$$\frac{8^{-2}x^{-10}\left(y^{7}\right)^{-2}}{4^{2}x^{-8}y^{5}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 7 me te -2 kia riro ai te -14.

$$\frac{8^{-2}x^{-10}y^{-14}}{4^{2}x^{-8}y^{5}}$$

Tātaihia te 8 mā te pū o -2, kia riro ko \frac{1}{64}.

$$\frac{\frac{1}{64}x^{-10}y^{-14}}{4^{2}x^{-8}y^{5}}$$

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

$$\frac{\frac{1}{64}x^{-10}y^{-14}}{16x^{-8}y^{5}}$$

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

$$\frac{\frac{1}{64}}{16x^{2}y^{19}}$$

Tuhia te \frac{\frac{1}{64}}{16x^{2}y^{19}} hei hautanga kotahi.

$$\frac{1}{64\times 16x^{2}y^{19}}$$

Whakareatia te 64 ki te 16, ka 1024.

$$\frac{1}{1024x^{2}y^{19}}$$

Whakaroha

$$\frac{1}{1024x^{2}y^{19}}$$

Ngā Upane Otinga

Whakarohaina te \left(8x^{5}y^{7}\right)^{-2}.

$$\frac{8^{-2}\left(x^{5}\right)^{-2}\left(y^{7}\right)^{-2}}{4^{2}x^{-8}y^{5}}$$

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

$$\frac{8^{-2}x^{-10}\left(y^{7}\right)^{-2}}{4^{2}x^{-8}y^{5}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 7 me te -2 kia riro ai te -14.

$$\frac{8^{-2}x^{-10}y^{-14}}{4^{2}x^{-8}y^{5}}$$

Tātaihia te 8 mā te pū o -2, kia riro ko \frac{1}{64}.

$$\frac{\frac{1}{64}x^{-10}y^{-14}}{4^{2}x^{-8}y^{5}}$$

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

$$\frac{\frac{1}{64}x^{-10}y^{-14}}{16x^{-8}y^{5}}$$

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

$$\frac{\frac{1}{64}}{16x^{2}y^{19}}$$

Tuhia te \frac{\frac{1}{64}}{16x^{2}y^{19}} hei hautanga kotahi.

$$\frac{1}{64\times 16x^{2}y^{19}}$$

Whakareatia te 64 ki te 16, ka 1024.

$$\frac{1}{1024x^{2}y^{19}}$$