Whakaoti i te 2a^6diva^4

$$2 a ^ { 6 } \div a ^ { 4 }$$

Aromātai

$$2a^{2}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(2a^{6}\right)^{1}\times \frac{1}{a^{4}}$$

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.

$$2^{1}\left(a^{6}\right)^{1}\times \frac{1}{1}\times \frac{1}{a^{4}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$2^{1}\times \frac{1}{1}\left(a^{6}\right)^{1}\times \frac{1}{a^{4}}$$

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

$$2^{1}\times \frac{1}{1}a^{6}a^{4\left(-1\right)}$$

Whakareatia 4 ki te -1.

$$2^{1}\times \frac{1}{1}a^{6}a^{-4}$$

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

$$2^{1}\times \frac{1}{1}a^{6-4}$$

Tāpirihia ngā taupū 6 me -4.

$$2^{1}\times \frac{1}{1}a^{2}$$

Hīkina te 2 ki te pū 1.

$$2\times \frac{1}{1}a^{2}$$

Kimi Pārōnaki e ai ki a

$$4a$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{2}{1}a^{6-4})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}a}(2a^{2})$$

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}.

$$2\times 2a^{2-1}$$

Mahia ngā tātaitanga.

$$4a^{1}$$

Mō tētahi kupu t, t^{1}=t.

$$4a$$