Whakaoti i te 15xy^5/5xy^2

$$\frac { 15 x y ^ { 5 } } { 5 x y ^ { 2 } }$$

Aromātai

$$3y^{3}$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{15^{1}x^{1}y^{5}}{5^{1}x^{1}y^{2}}$$

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

$$\frac{15^{1}}{5^{1}}x^{1-1}y^{5-2}$$

Tango 1 mai i 1.

$$\frac{15^{1}}{5^{1}}x^{0}y^{5-2}$$

Mō tētahi tau a mahue te 0, a^{0}=1.

$$\frac{15^{1}}{5^{1}}y^{5-2}$$

Tango 2 mai i 5.

$$\frac{15^{1}}{5^{1}}y^{3}$$

Whakawehe 15 ki te 5.

$$3y^{3}$$

Kimi Pārōnaki e ai ki y

$$9y^{2}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Me whakakore tahi te 5xy^{2} i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}y}(3y^{3})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$3\times 3y^{3-1}$$

Whakareatia 3 ki te 3.

$$9y^{3-1}$$

Tango 1 mai i 3.

$$9y^{2}$$