Whakaoti i te 45w^7/5w^3

$$\frac { 45 w ^ { 7 } } { 5 w ^ { 3 } }$$

Aromātai

$$9w^{4}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(45w^{7}\right)^{1}\times \frac{1}{5w^{3}}$$

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.

$$45^{1}\left(w^{7}\right)^{1}\times \frac{1}{5}\times \frac{1}{w^{3}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$45^{1}\times \frac{1}{5}\left(w^{7}\right)^{1}\times \frac{1}{w^{3}}$$

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

$$45^{1}\times \frac{1}{5}w^{7}w^{3\left(-1\right)}$$

Whakareatia 3 ki te -1.

$$45^{1}\times \frac{1}{5}w^{7}w^{-3}$$

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

$$45^{1}\times \frac{1}{5}w^{7-3}$$

Tāpirihia ngā taupū 7 me -3.

$$45^{1}\times \frac{1}{5}w^{4}$$

Hīkina te 45 ki te pū 1.

$$45\times \frac{1}{5}w^{4}$$

Whakareatia 45 ki te \frac{1}{5}.

$$9w^{4}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{45^{1}w^{7}}{5^{1}w^{3}}$$

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

$$\frac{45^{1}w^{7-3}}{5^{1}}$$

Tango 3 mai i 7.

$$\frac{45^{1}w^{4}}{5^{1}}$$

Whakawehe 45 ki te 5.

$$9w^{4}$$

Kimi Pārōnaki e ai ki w

$$36w^{3}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{45}{5}w^{7-3})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}w}(9w^{4})$$

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}.

$$4\times 9w^{4-1}$$

Mahia ngā tātaitanga.

$$36w^{3}$$