Whakaoti i te 10x^10/2x^7

$$\frac { 10 x ^ { 10 } } { 2 x ^ { 7 } }$$

Aromātai

$$5x^{3}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(10x^{10}\right)^{1}\times \frac{1}{2x^{7}}$$

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.

$$10^{1}\left(x^{10}\right)^{1}\times \frac{1}{2}\times \frac{1}{x^{7}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$10^{1}\times \frac{1}{2}\left(x^{10}\right)^{1}\times \frac{1}{x^{7}}$$

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

$$10^{1}\times \frac{1}{2}x^{10}x^{7\left(-1\right)}$$

Whakareatia 7 ki te -1.

$$10^{1}\times \frac{1}{2}x^{10}x^{-7}$$

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

$$10^{1}\times \frac{1}{2}x^{10-7}$$

Tāpirihia ngā taupū 10 me -7.

$$10^{1}\times \frac{1}{2}x^{3}$$

Hīkina te 10 ki te pū 1.

$$10\times \frac{1}{2}x^{3}$$

Whakareatia 10 ki te \frac{1}{2}.

$$5x^{3}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{10^{1}x^{10}}{2^{1}x^{7}}$$

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

$$\frac{10^{1}x^{10-7}}{2^{1}}$$

Tango 7 mai i 10.

$$\frac{10^{1}x^{3}}{2^{1}}$$

Whakawehe 10 ki te 2.

$$5x^{3}$$

Kimi Pārōnaki e ai ki x

$$15x^{2}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{10}{2}x^{10-7})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3})$$

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}.

$$3\times 5x^{3-1}$$

Mahia ngā tātaitanga.

$$15x^{2}$$