Whakaoti i te 20x^5/10x^2

$$\frac { 20 x ^ { 5 } } { 10 x ^ { 2 } }$$

Aromātai

$$2x^{3}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(20x^{5}\right)^{1}\times \frac{1}{10x^{2}}$$

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.

$$20^{1}\left(x^{5}\right)^{1}\times \frac{1}{10}\times \frac{1}{x^{2}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$20^{1}\times \frac{1}{10}\left(x^{5}\right)^{1}\times \frac{1}{x^{2}}$$

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

$$20^{1}\times \frac{1}{10}x^{5}x^{2\left(-1\right)}$$

Whakareatia 2 ki te -1.

$$20^{1}\times \frac{1}{10}x^{5}x^{-2}$$

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

$$20^{1}\times \frac{1}{10}x^{5-2}$$

Tāpirihia ngā taupū 5 me -2.

$$20^{1}\times \frac{1}{10}x^{3}$$

Hīkina te 20 ki te pū 1.

$$20\times \frac{1}{10}x^{3}$$

Whakareatia 20 ki te \frac{1}{10}.

$$2x^{3}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{20^{1}x^{5}}{10^{1}x^{2}}$$

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

$$\frac{20^{1}x^{5-2}}{10^{1}}$$

Tango 2 mai i 5.

$$\frac{20^{1}x^{3}}{10^{1}}$$

Whakawehe 20 ki te 10.

$$2x^{3}$$

Kimi Pārōnaki e ai ki x

$$6x^{2}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{20}{10}x^{5-2})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{3})$$

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}.

$$3\times 2x^{3-1}$$

Mahia ngā tātaitanga.

$$6x^{2}$$