Whakaoti i te frac{2^{-2}x^{2}y^-4}{5^-2x^7y^-1}

$$\frac { 2 ^ { - 2 } x ^ { 2 } y ^ { - 4 } } { 5 ^ { - 2 } x ^ { 7 } y ^ { - 1 } }$$

Aromātai

$$\frac{25}{4y^{3}x^{5}}$$

Ngā Upane Otinga

Me whakakore tahi te x^{2} i te taurunga me te tauraro.

$$\frac{2^{-2}y^{-4}}{5^{-2}\times \frac{1}{y}x^{5}}$$

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

$$\frac{2^{-2}}{5^{-2}y^{3}x^{5}}$$

Tātaihia te 2 mā te pū o -2, kia riro ko \frac{1}{4}.

$$\frac{\frac{1}{4}}{5^{-2}y^{3}x^{5}}$$

Tātaihia te 5 mā te pū o -2, kia riro ko \frac{1}{25}.

$$\frac{\frac{1}{4}}{\frac{1}{25}y^{3}x^{5}}$$

Tuhia te \frac{\frac{1}{4}}{\frac{1}{25}y^{3}x^{5}} hei hautanga kotahi.

$$\frac{1}{4\times \frac{1}{25}y^{3}x^{5}}$$

Whakareatia te 4 ki te \frac{1}{25}, ka \frac{4}{25}.

$$\frac{1}{\frac{4}{25}y^{3}x^{5}}$$

Kimi Pārōnaki e ai ki x

$$-\frac{125}{4y^{3}x^{6}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{4y^{4}\times \frac{1}{25y}}x^{2-7})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{25}{4y^{3}}x^{-5})$$

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}.

$$-5\times \frac{25}{4y^{3}}x^{-5-1}$$

Mahia ngā tātaitanga.

$$\left(-\frac{125}{4y^{3}}\right)x^{-6}$$