Whakaoti i te (3x^2y)^-1x^2z/3y^-1

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

Aromātai

$$\frac{z}{9}$$

Ngā Upane Otinga

Whakarohaina te \left(3x^{2}y\right)^{-1}.

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

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te -1 kia riro ai te -2.

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

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

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

Whakareatia te x^{-2} ki te x^{2}, ka 1.

$$\frac{\frac{1}{3}y^{-1}z}{3y^{-1}}$$

Me whakakore tahi te \frac{1}{y} i te taurunga me te tauraro.

$$\frac{\frac{1}{3}z}{3}$$

Whakawehea te \frac{1}{3}z ki te 3, kia riro ko \frac{1}{9}z.

$$\frac{1}{9}z$$

Kimi Pārōnaki e ai ki z

$$\frac{1}{9} = 0.1111111111111111$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Whakarohaina te \left(3x^{2}y\right)^{-1}.

$$\frac{\mathrm{d}}{\mathrm{d}z}(\frac{3^{-1}\left(x^{2}\right)^{-1}y^{-1}x^{2}z}{3y^{-1}})$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te -1 kia riro ai te -2.

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

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

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

Whakareatia te x^{-2} ki te x^{2}, ka 1.

$$\frac{\mathrm{d}}{\mathrm{d}z}(\frac{\frac{1}{3}y^{-1}z}{3y^{-1}})$$

Me whakakore tahi te \frac{1}{y} i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}z}(\frac{\frac{1}{3}z}{3})$$

Whakawehea te \frac{1}{3}z ki te 3, kia riro ko \frac{1}{9}z.

$$\frac{\mathrm{d}}{\mathrm{d}z}(\frac{1}{9}z)$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$\frac{1}{9}z^{1-1}$$

Tango 1 mai i 1.

$$\frac{1}{9}z^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{1}{9}\times 1$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$\frac{1}{9}$$