Whakaoti i te 8p^6*3p^4/16p^5=

$$\frac { 8 p ^ { 6 } \times 3 p ^ { 4 } } { 16 p ^ { 5 } } =$$

Aromātai

$$\frac{3p^{5}}{2}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 6 me te 4 kia riro ai te 10.

$$\frac{8p^{10}\times 3}{16p^{5}}$$

Me whakakore tahi te 8p^{5} i te taurunga me te tauraro.

$$\frac{3p^{5}}{2}$$

Kimi Pārōnaki e ai ki p

$$\frac{15p^{4}}{2}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}p}(\frac{24p^{4}}{16}p^{6-5})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}p}(\frac{3p^{4}}{2}p^{1})$$

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}.

$$\frac{3p^{4}}{2}p^{1-1}$$

Mahia ngā tātaitanga.

$$\frac{3p^{4}}{2}p^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{3p^{4}}{2}\times 1$$

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

$$\frac{3p^{4}}{2}$$