Whakaoti i te 2x^10y^6/4x^4y^8=

$$\frac { 2 x ^ { 10 } y ^ { 6 } } { 4 x ^ { 4 } y ^ { 8 } } =$$

Aromātai

$$\frac{x^{6}}{2y^{2}}$$

Ngā Upane e Whakamahi ana i te Āhuatanga o te Otinga o ngā Pū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{2^{1}x^{10}y^{6}}{4^{1}x^{4}y^{8}}$$

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

$$\frac{2^{1}}{4^{1}}x^{10-4}y^{6-8}$$

Tango 4 mai i 10.

$$\frac{2^{1}}{4^{1}}x^{6}y^{6-8}$$

Tango 8 mai i 6.

$$\frac{2^{1}}{4^{1}}x^{6}y^{-2}$$

Whakahekea te hautanga \frac{2}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{2}x^{6}\times \frac{1}{y^{2}}$$

Kimi Pārōnaki e ai ki x

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

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2y^{6}}{4y^{8}}x^{10-4})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{2y^{2}}x^{6})$$

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}.

$$6\times \frac{1}{2y^{2}}x^{6-1}$$

Mahia ngā tātaitanga.

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