Whakaoti i te (15a^3b^2)div(3a^2b)=

$$( 15 a ^ { 3 } b ^ { 2 } ) \div ( 3 a ^ { 2 } b ) =$$

Aromātai

$$5ab$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{15^{1}a^{3}b^{2}}{3^{1}a^{2}b^{1}}$$

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

$$\frac{15^{1}}{3^{1}}a^{3-2}b^{2-1}$$

Tango 2 mai i 3.

$$\frac{15^{1}}{3^{1}}a^{1}b^{2-1}$$

Tango 1 mai i 2.

$$\frac{15^{1}}{3^{1}}ab^{1}$$

Whakawehe 15 ki te 3.

$$5ab$$

Kimi Pārōnaki e ai ki a

$$5b$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{15b^{2}}{3b}a^{3-2})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}a}(5ba^{1})$$

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}.

$$5ba^{1-1}$$

Mahia ngā tātaitanga.

$$5ba^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$5b\times 1$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$5b$$