Whakaoti i te 49y^6/56y^2

$$\frac { 49 y ^ { 6 } } { 56 y ^ { 2 } }$$

Aromātai

$$\frac{7y^{4}}{8}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(49y^{6}\right)^{1}\times \frac{1}{56y^{2}}$$

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.

$$49^{1}\left(y^{6}\right)^{1}\times \frac{1}{56}\times \frac{1}{y^{2}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$49^{1}\times \frac{1}{56}\left(y^{6}\right)^{1}\times \frac{1}{y^{2}}$$

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

$$49^{1}\times \frac{1}{56}y^{6}y^{2\left(-1\right)}$$

Whakareatia 2 ki te -1.

$$49^{1}\times \frac{1}{56}y^{6}y^{-2}$$

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

$$49^{1}\times \frac{1}{56}y^{6-2}$$

Tāpirihia ngā taupū 6 me -2.

$$49^{1}\times \frac{1}{56}y^{4}$$

Hīkina te 49 ki te pū 1.

$$49\times \frac{1}{56}y^{4}$$

Whakareatia 49 ki te \frac{1}{56}.

$$\frac{7}{8}y^{4}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{49^{1}y^{6}}{56^{1}y^{2}}$$

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

$$\frac{49^{1}y^{6-2}}{56^{1}}$$

Tango 2 mai i 6.

$$\frac{49^{1}y^{4}}{56^{1}}$$

Whakahekea te hautanga \frac{49}{56} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{7}{8}y^{4}$$

Kimi Pārōnaki e ai ki y

$$\frac{7y^{3}}{2}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{49}{56}y^{6-2})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{7}{8}y^{4})$$

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}.

$$4\times \frac{7}{8}y^{4-1}$$

Mahia ngā tātaitanga.

$$\frac{7}{2}y^{3}$$