Whakaoti i te (x^9)^3/x^6

$$\frac { ( x ^ { 9 } ) ^ { 3 } } { x ^ { 6 } }$$

Aromātai

$$x^{21}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(x^{9}\right)^{3}\times \frac{1}{x^{6}}$$

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

$$x^{9\times 3}x^{6\left(-1\right)}$$

Whakareatia 9 ki te 3.

$$x^{27}x^{6\left(-1\right)}$$

Whakareatia 6 ki te -1.

$$x^{27}x^{-6}$$

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

$$x^{27-6}$$

Tāpirihia ngā taupū 27 me -6.

$$x^{21}$$

Kimi Pārōnaki e ai ki x

$$21x^{20}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 9 me te 3 kia riro ai te 27.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{27}}{x^{6}})$$

Hei whakawehe ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga. Me tango te 6 i te 27 kia riro ai te 21.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{21})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$21x^{21-1}$$

Tango 1 mai i 21.

$$21x^{20}$$