Whakaoti i te (frac{2^{-1}x^{-2}y^{0}}{8^-2x^3y^4})^-2

$$( \frac { 2 ^ { - 1 } x ^ { - 2 } y ^ { 0 } } { 8 ^ { - 2 } x ^ { 3 } y ^ { 4 } } ) ^ { - 2 }$$

Aromātai

$$\frac{y^{8}x^{10}}{1024}$$

Ngā Upane Otinga

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

$$\left(\frac{\frac{1}{2}}{8^{-2}y^{4}x^{5}}\right)^{-2}$$

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

$$\left(\frac{\frac{1}{2}}{\frac{1}{64}y^{4}x^{5}}\right)^{-2}$$

Tuhia te \frac{\frac{1}{2}}{\frac{1}{64}y^{4}x^{5}} hei hautanga kotahi.

$$\left(\frac{1}{2\times \frac{1}{64}y^{4}x^{5}}\right)^{-2}$$

Whakareatia te 2 ki te \frac{1}{64}, ka \frac{1}{32}.

$$\left(\frac{1}{\frac{1}{32}y^{4}x^{5}}\right)^{-2}$$

Kia whakarewa i te \frac{1}{\frac{1}{32}y^{4}x^{5}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{1^{-2}}{\left(\frac{1}{32}y^{4}x^{5}\right)^{-2}}$$

Tātaihia te 1 mā te pū o -2, kia riro ko 1.

$$\frac{1}{\left(\frac{1}{32}y^{4}x^{5}\right)^{-2}}$$

Whakarohaina te \left(\frac{1}{32}y^{4}x^{5}\right)^{-2}.

$$\frac{1}{\left(\frac{1}{32}\right)^{-2}\left(y^{4}\right)^{-2}\left(x^{5}\right)^{-2}}$$

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

$$\frac{1}{\left(\frac{1}{32}\right)^{-2}y^{-8}\left(x^{5}\right)^{-2}}$$

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

$$\frac{1}{\left(\frac{1}{32}\right)^{-2}y^{-8}x^{-10}}$$

Tātaihia te \frac{1}{32} mā te pū o -2, kia riro ko 1024.

$$\frac{1}{1024y^{-8}x^{-10}}$$

Whakaroha

$$\frac{y^{8}x^{10}}{1024}$$

Ngā Upane Otinga

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

$$\left(\frac{\frac{1}{2}}{8^{-2}y^{4}x^{5}}\right)^{-2}$$

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

$$\left(\frac{\frac{1}{2}}{\frac{1}{64}y^{4}x^{5}}\right)^{-2}$$

Tuhia te \frac{\frac{1}{2}}{\frac{1}{64}y^{4}x^{5}} hei hautanga kotahi.

$$\left(\frac{1}{2\times \frac{1}{64}y^{4}x^{5}}\right)^{-2}$$

Whakareatia te 2 ki te \frac{1}{64}, ka \frac{1}{32}.

$$\left(\frac{1}{\frac{1}{32}y^{4}x^{5}}\right)^{-2}$$

Kia whakarewa i te \frac{1}{\frac{1}{32}y^{4}x^{5}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{1^{-2}}{\left(\frac{1}{32}y^{4}x^{5}\right)^{-2}}$$

Tātaihia te 1 mā te pū o -2, kia riro ko 1.

$$\frac{1}{\left(\frac{1}{32}y^{4}x^{5}\right)^{-2}}$$

Whakarohaina te \left(\frac{1}{32}y^{4}x^{5}\right)^{-2}.

$$\frac{1}{\left(\frac{1}{32}\right)^{-2}\left(y^{4}\right)^{-2}\left(x^{5}\right)^{-2}}$$

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

$$\frac{1}{\left(\frac{1}{32}\right)^{-2}y^{-8}\left(x^{5}\right)^{-2}}$$

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

$$\frac{1}{\left(\frac{1}{32}\right)^{-2}y^{-8}x^{-10}}$$

Tātaihia te \frac{1}{32} mā te pū o -2, kia riro ko 1024.

$$\frac{1}{1024y^{-8}x^{-10}}$$