Whakaoti i te (6/5x^{5}y^{4}z^8):(5/3x^3y^3z^7)=

$$( \frac { 6 } { 5 } x ^ { 5 } y ^ { 4 } z ^ { 8 } ) : ( \frac { 5 } { 3 } x ^ { 3 } y ^ { 3 } z ^ { 7 } ) =$$

Aromātai

$$\frac{18yzx^{2}}{25}$$

Ngā Upane Otinga

Me whakakore tahi te x^{3}y^{3}z^{7} i te taurunga me te tauraro.

$$\frac{\frac{6}{5}yzx^{2}}{\frac{5}{3}}$$

Whakawehe \frac{6}{5}yzx^{2} ki te \frac{5}{3} mā te whakarea \frac{6}{5}yzx^{2} ki te tau huripoki o \frac{5}{3}.

$$\frac{\frac{6}{5}yzx^{2}\times 3}{5}$$

Whakareatia te \frac{6}{5} ki te 3, ka \frac{18}{5}.

$$\frac{\frac{18}{5}yzx^{2}}{5}$$

Whakawehea te \frac{18}{5}yzx^{2} ki te 5, kia riro ko \frac{18}{25}yzx^{2}.

$$\frac{18}{25}yzx^{2}$$

Kimi Pārōnaki e ai ki x

$$\frac{36xyz}{25}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6y^{4}z^{8}}{5\times \frac{5y^{3}z^{7}}{3}}x^{5-3})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{18yz}{25}x^{2})$$

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}.

$$2\times \frac{18yz}{25}x^{2-1}$$

Mahia ngā tātaitanga.

$$\frac{36yz}{25}x^{1}$$

Mō tētahi kupu t, t^{1}=t.

$$\frac{36yz}{25}x$$