Whakaoti i te (x^4)^4/x^6

$$\frac { ( x ^ { 4 } ) ^ { 4 } } { x ^ { 6 } }$$

Aromātai

$$x^{10}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(x^{4}\right)^{4}\times \frac{1}{x^{6}}$$

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

$$x^{4\times 4}x^{6\left(-1\right)}$$

Whakareatia 4 ki te 4.

$$x^{16}x^{6\left(-1\right)}$$

Whakareatia 6 ki te -1.

$$x^{16}x^{-6}$$

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

$$x^{16-6}$$

Tāpirihia ngā taupū 16 me -6.

$$x^{10}$$

Kimi Pārōnaki e ai ki x

$$10x^{9}$$

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 4 me te 4 kia riro ai te 16.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{16}}{x^{6}})$$

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 16 kia riro ai te 10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{10})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$10x^{10-1}$$

Tango 1 mai i 10.

$$10x^{9}$$