Whakaoti i te x^3*{left(-1/xright)}^2

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

Aromātai

$$x$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

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

Hei hiki i te hua o ngā tau e rua, neke atu rānei ki tētahi pū, hīkina ia tau ki te pū ka tuhi ko tāna hua.

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

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū.

$$1^{3}x^{3}x^{-2}$$

Hei whakarea pū o te pūtake ōrite, tāpiri ana taupū.

$$1^{3}x^{3-2}$$

Tāpirihia ngā taupū 3 me -2.

$$1^{3}x^{1}$$

Hīkina te -1 ki te pū 2.

$$x^{1}$$

Mō tētahi kupu t, t^{1}=t.

$$x$$

Kimi Pārōnaki e ai ki x

$$1$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Tātaihia te -\frac{1}{x} mā te pū o 2, kia riro ko \left(\frac{1}{x}\right)^{2}.

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

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times \frac{1^{2}}{x^{2}})$$

Tuhia te x^{3}\times \frac{1^{2}}{x^{2}} hei hautanga kotahi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{3}\times 1^{2}}{x^{2}})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(1^{2}x)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(1x)$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$x^{1-1}$$

Tango 1 mai i 1.

$$x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$1$$