Whakaoti i te 32x^6/8x^4

$$\frac { 32 x ^ { 6 } } { 8 x ^ { 4 } }$$

Aromātai

$$4x^{2}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(32x^{6}\right)^{1}\times \frac{1}{8x^{4}}$$

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.

$$32^{1}\left(x^{6}\right)^{1}\times \frac{1}{8}\times \frac{1}{x^{4}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$32^{1}\times \frac{1}{8}\left(x^{6}\right)^{1}\times \frac{1}{x^{4}}$$

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

$$32^{1}\times \frac{1}{8}x^{6}x^{4\left(-1\right)}$$

Whakareatia 4 ki te -1.

$$32^{1}\times \frac{1}{8}x^{6}x^{-4}$$

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

$$32^{1}\times \frac{1}{8}x^{6-4}$$

Tāpirihia ngā taupū 6 me -4.

$$32^{1}\times \frac{1}{8}x^{2}$$

Hīkina te 32 ki te pū 1.

$$32\times \frac{1}{8}x^{2}$$

Whakareatia 32 ki te \frac{1}{8}.

$$4x^{2}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{32^{1}x^{6}}{8^{1}x^{4}}$$

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

$$\frac{32^{1}x^{6-4}}{8^{1}}$$

Tango 4 mai i 6.

$$\frac{32^{1}x^{2}}{8^{1}}$$

Whakawehe 32 ki te 8.

$$4x^{2}$$

Kimi Pārōnaki e ai ki x

$$8x$$

Ngā Upane Otinga

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{32}{8}x^{6-4})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2})$$

Ko te pārōnaki o tētahi pūrau ko te tapeke o ngā pārōnaki o ōna kīanga tau. Ko te pārōnaki o tētahi kīanga tau pūmau ko 0. Ko te pārōnaki o te ax^{n} ko te nax^{n-1}.

$$2\times 4x^{2-1}$$

Mahia ngā tātaitanga.

$$8x^{1}$$

Mō tētahi kupu t, t^{1}=t.

$$8x$$