Whakaoti i te frac{25x^{-8}y^9(x)^-2}{5x^-8y^-9}

$$\frac { 25 x ^ { - 8 } y ^ { 9 } ( x ) ^ { - 2 } } { 5 x ^ { - 8 } y ^ { - 9 } }$$

Aromātai

$$\frac{5y^{18}}{x^{2}}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -8 me te -2 kia riro ai te -10.

$$\frac{25x^{-10}y^{9}}{5x^{-8}y^{-9}}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$\frac{5x^{-10}y^{9}}{y^{-9}x^{-8}}$$

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

$$\frac{5x^{-10}y^{18}}{x^{-8}}$$

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

$$\frac{5y^{18}}{x^{2}}$$

Kimi Pārōnaki e ai ki x

$$-\frac{10y^{18}}{x^{3}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{25y^{9}}{x^{2}\times \frac{5}{y^{9}}}x^{-8-\left(-8\right)})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5y^{18}}{x^{2}}x^{0})$$

Mō tētahi tau a mahue te 0, a^{0}=1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5y^{18}}{x^{2}})$$

Ko te pārōnaki o tētahi kupu taimau ko te 0.

$$0$$