Whakaoti i te 5x^-2/5x^2

$$\frac { 5 x ^ { - 2 } } { 5 x ^ { 2 } }$$

Aromātai

$$\frac{1}{x^{4}}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

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

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.

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

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

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

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

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

Whakareatia 2 ki te -1.

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

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

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

Tāpirihia ngā taupū -2 me -2.

$$5^{1}\times \frac{1}{5}x^{-4}$$

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

$$5^{1-1}x^{-4}$$

Tāpirihia ngā taupū 1 me -1.

$$5^{0}x^{-4}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$1x^{-4}$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$x^{-4}$$

Kimi Pārōnaki e ai ki x

$$-\frac{4}{x^{5}}$$

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.

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

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{-4})$$

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}.

$$-4x^{-4-1}$$

Mahia ngā tātaitanga.

$$-4x^{-5}$$