Whakaoti i te (2xy/6x^2)^2(y^2/xz)^-3

$$( \frac { 2 x y } { 6 x ^ { 2 } } ) ^ { 2 } ( \frac { y ^ { 2 } } { x z } ) ^ { - 3 }$$

Aromātai

$$\frac{xz^{3}}{9y^{4}}$$

Ngā Upane Otinga

Me whakakore tahi te 2x i te taurunga me te tauraro.

$$\left(\frac{y}{3x}\right)^{2}\times \left(\frac{y^{2}}{xz}\right)^{-3}$$

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

$$\frac{y^{2}}{\left(3x\right)^{2}}\times \left(\frac{y^{2}}{xz}\right)^{-3}$$

Kia whakarewa i te \frac{y^{2}}{xz} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{y^{2}}{\left(3x\right)^{2}}\times \frac{\left(y^{2}\right)^{-3}}{\left(xz\right)^{-3}}$$

Me whakarea te \frac{y^{2}}{\left(3x\right)^{2}} ki te \frac{\left(y^{2}\right)^{-3}}{\left(xz\right)^{-3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

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

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

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te -6 kia riro ai te -4.

$$\frac{y^{-4}}{\left(3x\right)^{2}\left(xz\right)^{-3}}$$

Whakarohaina te \left(3x\right)^{2}.

$$\frac{y^{-4}}{3^{2}x^{2}\left(xz\right)^{-3}}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$\frac{y^{-4}}{9x^{2}\left(xz\right)^{-3}}$$

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

$$\frac{y^{-4}}{9x^{2}x^{-3}z^{-3}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te -3 kia riro ai te -1.

$$\frac{y^{-4}}{9x^{-1}z^{-3}}$$

Whakaroha

$$\frac{xz^{3}}{9y^{4}}$$

Ngā Upane Otinga

Me whakakore tahi te 2x i te taurunga me te tauraro.

$$\left(\frac{y}{3x}\right)^{2}\times \left(\frac{y^{2}}{xz}\right)^{-3}$$

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

$$\frac{y^{2}}{\left(3x\right)^{2}}\times \left(\frac{y^{2}}{xz}\right)^{-3}$$

Kia whakarewa i te \frac{y^{2}}{xz} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{y^{2}}{\left(3x\right)^{2}}\times \frac{\left(y^{2}\right)^{-3}}{\left(xz\right)^{-3}}$$

Me whakarea te \frac{y^{2}}{\left(3x\right)^{2}} ki te \frac{\left(y^{2}\right)^{-3}}{\left(xz\right)^{-3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

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

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

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te -6 kia riro ai te -4.

$$\frac{y^{-4}}{\left(3x\right)^{2}\left(xz\right)^{-3}}$$

Whakarohaina te \left(3x\right)^{2}.

$$\frac{y^{-4}}{3^{2}x^{2}\left(xz\right)^{-3}}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$\frac{y^{-4}}{9x^{2}\left(xz\right)^{-3}}$$

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

$$\frac{y^{-4}}{9x^{2}x^{-3}z^{-3}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te -3 kia riro ai te -1.

$$\frac{y^{-4}}{9x^{-1}z^{-3}}$$