Whakaoti i te (frac{3^{2}xy^{3}}{3^3x^-1y^2})^-2

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

Aromātai

$$\frac{9}{y^{2}x^{4}}$$

Ngā Upane Otinga

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

$$\left(\frac{xy}{3\times \frac{1}{x}}\right)^{-2}$$

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

$$\left(\frac{yx^{2}}{3}\right)^{-2}$$

Kia whakarewa i te \frac{yx^{2}}{3} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(yx^{2}\right)^{-2}}{3^{-2}}$$

Whakarohaina te \left(yx^{2}\right)^{-2}.

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

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

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

Tātaihia te 3 mā te pū o -2, kia riro ko \frac{1}{9}.

$$\frac{y^{-2}x^{-4}}{\frac{1}{9}}$$

Whakawehe y^{-2}x^{-4} ki te \frac{1}{9} mā te whakarea y^{-2}x^{-4} ki te tau huripoki o \frac{1}{9}.

$$y^{-2}x^{-4}\times 9$$

Whakaroha

$$\frac{9}{y^{2}x^{4}}$$

Ngā Upane Otinga

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

$$\left(\frac{xy}{3\times \frac{1}{x}}\right)^{-2}$$

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

$$\left(\frac{yx^{2}}{3}\right)^{-2}$$

Kia whakarewa i te \frac{yx^{2}}{3} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(yx^{2}\right)^{-2}}{3^{-2}}$$

Whakarohaina te \left(yx^{2}\right)^{-2}.

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

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

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

Tātaihia te 3 mā te pū o -2, kia riro ko \frac{1}{9}.

$$\frac{y^{-2}x^{-4}}{\frac{1}{9}}$$

Whakawehe y^{-2}x^{-4} ki te \frac{1}{9} mā te whakarea y^{-2}x^{-4} ki te tau huripoki o \frac{1}{9}.

$$y^{-2}x^{-4}\times 9$$