Whakaoti i te 4x^4x^-8/8x^-7y^-2

$$\frac { 4 x ^ { 4 } x ^ { - 8 } } { 8 x ^ { - 7 } y ^ { - 2 } }$$

Aromātai

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

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te -8 kia riro ai te -4.

$$\frac{4x^{-4}}{8x^{-7}y^{-2}}$$

Me whakakore tahi te 4 i te taurunga me te tauraro.

$$\frac{x^{-4}}{2x^{-7}y^{-2}}$$

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

$$\frac{x^{3}}{2y^{-2}}$$

Kimi Pārōnaki e ai ki x

$$\frac{3\left(xy\right)^{2}}{2}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4}{x^{8}\times \frac{8}{y^{2}}}x^{4-\left(-7\right)})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{y^{2}}{2x^{8}}x^{11})$$

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}.

$$11\times \frac{y^{2}}{2x^{8}}x^{11-1}$$

Mahia ngā tātaitanga.

$$\frac{11y^{2}}{2x^{8}}x^{10}$$