Whakaoti i te frac{(12x^{3}y^{2})*(3x^{5}yz^6)}{9x^-4y^3z^3}=

$$\frac { ( 12 x ^ { 3 } y ^ { 2 } ) \times ( 3 x ^ { 5 } y z ^ { 6 } ) } { 9 x ^ { - 4 } y ^ { 3 } z ^ { 3 } } =$$

Aromātai

$$4z^{3}x^{12}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 5 kia riro ai te 8.

$$\frac{12x^{8}y^{2}\times 3yz^{6}}{9x^{-4}y^{3}z^{3}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$\frac{12x^{8}y^{3}\times 3z^{6}}{9x^{-4}y^{3}z^{3}}$$

Me whakakore tahi te 3\times 3y^{3}z^{3} i te taurunga me te tauraro.

$$\frac{4z^{3}x^{8}}{x^{-4}}$$

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

$$4z^{3}x^{12}$$

Kimi Pārōnaki e ai ki x

$$48z^{3}x^{11}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{36y^{3}x^{5}z^{6}}{9y^{3}z^{3}}x^{3-\left(-4\right)})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4z^{3}x^{5}x^{7})$$

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}.

$$7\times 4z^{3}x^{5}x^{7-1}$$

Mahia ngā tātaitanga.

$$28z^{3}x^{5}x^{6}$$