Whakaoti i te (frac{2x^{4}z^-4}{8x^3yz^2})^-3

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

Aromātai

$$64\times \left(\frac{y}{x}\right)^{3}z^{18}$$

Ngā Upane Otinga

Me whakakore tahi te 2x^{3} i te taurunga me te tauraro.

$$\left(\frac{z^{-4}x}{4yz^{2}}\right)^{-3}$$

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

$$\left(\frac{x}{4yz^{6}}\right)^{-3}$$

Kia whakarewa i te \frac{x}{4yz^{6}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{x^{-3}}{\left(4yz^{6}\right)^{-3}}$$

Whakarohaina te \left(4yz^{6}\right)^{-3}.

$$\frac{x^{-3}}{4^{-3}y^{-3}\left(z^{6}\right)^{-3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 6 me te -3 kia riro ai te -18.

$$\frac{x^{-3}}{4^{-3}y^{-3}z^{-18}}$$

Tātaihia te 4 mā te pū o -3, kia riro ko \frac{1}{64}.

$$\frac{x^{-3}}{\frac{1}{64}y^{-3}z^{-18}}$$

Whakaroha

$$64\times \left(\frac{y}{x}\right)^{3}z^{18}$$

Ngā Upane Otinga

Me whakakore tahi te 2x^{3} i te taurunga me te tauraro.

$$\left(\frac{z^{-4}x}{4yz^{2}}\right)^{-3}$$

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

$$\left(\frac{x}{4yz^{6}}\right)^{-3}$$

Kia whakarewa i te \frac{x}{4yz^{6}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{x^{-3}}{\left(4yz^{6}\right)^{-3}}$$

Whakarohaina te \left(4yz^{6}\right)^{-3}.

$$\frac{x^{-3}}{4^{-3}y^{-3}\left(z^{6}\right)^{-3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 6 me te -3 kia riro ai te -18.

$$\frac{x^{-3}}{4^{-3}y^{-3}z^{-18}}$$

Tātaihia te 4 mā te pū o -3, kia riro ko \frac{1}{64}.

$$\frac{x^{-3}}{\frac{1}{64}y^{-3}z^{-18}}$$