Whakaoti i te (-18x^4):(6x^3)=

$$( - 18 x ^ { 4 } ) : ( 6 x ^ { 3 } ) =$$

Aromātai

$$-3x$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(-18x^{4}\right)^{1}\times \frac{1}{6x^{3}}$$

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.

$$\left(-18\right)^{1}\left(x^{4}\right)^{1}\times \frac{1}{6}\times \frac{1}{x^{3}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$\left(-18\right)^{1}\times \frac{1}{6}\left(x^{4}\right)^{1}\times \frac{1}{x^{3}}$$

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

$$\left(-18\right)^{1}\times \frac{1}{6}x^{4}x^{3\left(-1\right)}$$

Whakareatia 3 ki te -1.

$$\left(-18\right)^{1}\times \frac{1}{6}x^{4}x^{-3}$$

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

$$\left(-18\right)^{1}\times \frac{1}{6}x^{4-3}$$

Tāpirihia ngā taupū 4 me -3.

$$\left(-18\right)^{1}\times \frac{1}{6}x^{1}$$

Hīkina te -18 ki te pū 1.

$$-18\times \frac{1}{6}x^{1}$$

Whakareatia -18 ki te \frac{1}{6}.

$$-3x^{1}$$

Mō tētahi kupu t, t^{1}=t.

$$-3x$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{\left(-18\right)^{1}x^{4}}{6^{1}x^{3}}$$

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

$$\frac{\left(-18\right)^{1}x^{4-3}}{6^{1}}$$

Tango 3 mai i 4.

$$\frac{\left(-18\right)^{1}x^{1}}{6^{1}}$$

Whakawehe -18 ki te 6.

$$-3x^{1}$$

Mō tētahi kupu t, t^{1}=t.

$$-3x$$

Kimi Pārōnaki e ai ki x

$$-3$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{18}{6}\right)x^{4-3})$$

Mahia ngā tātaitanga.

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

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}.

$$-3x^{1-1}$$

Mahia ngā tātaitanga.

$$-3x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$-3$$