Whakaoti i te 2b^3/-6b^9=

$$\frac { 2 b ^ { 3 } } { - 6 b ^ { 9 } } =$$

Aromātai

$$-\frac{1}{3b^{6}}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(2b^{3}\right)^{1}\times \frac{1}{-6b^{9}}$$

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.

$$2^{1}\left(b^{3}\right)^{1}\times \frac{1}{-6}\times \frac{1}{b^{9}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$2^{1}\times \frac{1}{-6}\left(b^{3}\right)^{1}\times \frac{1}{b^{9}}$$

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

$$2^{1}\times \frac{1}{-6}b^{3}b^{9\left(-1\right)}$$

Whakareatia 9 ki te -1.

$$2^{1}\times \frac{1}{-6}b^{3}b^{-9}$$

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

$$2^{1}\times \frac{1}{-6}b^{3-9}$$

Tāpirihia ngā taupū 3 me -9.

$$2^{1}\times \frac{1}{-6}b^{-6}$$

Hīkina te 2 ki te pū 1.

$$2\times \frac{1}{-6}b^{-6}$$

Hīkina te -6 ki te pū -1.

$$2\left(-\frac{1}{6}\right)b^{-6}$$

Whakareatia 2 ki te -\frac{1}{6}.

$$-\frac{1}{3}b^{-6}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{2^{1}b^{3}}{\left(-6\right)^{1}b^{9}}$$

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

$$\frac{2^{1}b^{3-9}}{\left(-6\right)^{1}}$$

Tango 9 mai i 3.

$$\frac{2^{1}b^{-6}}{\left(-6\right)^{1}}$$

Whakahekea te hautanga \frac{2}{-6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{1}{3}b^{-6}$$

Kimi Pārōnaki e ai ki b

$$\frac{2}{b^{7}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{2}{-6}b^{3-9})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-\frac{1}{3}b^{-6})$$

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}.

$$-6\left(-\frac{1}{3}\right)b^{-6-1}$$

Mahia ngā tātaitanga.

$$2b^{-7}$$