Whakaoti i te 4a^frac{2{3}}*b^-frac{3{3}}div(-2/3a^-frac{2{3}}b^frac{3{3}})

$$4 a ^ { \frac { 2 } { 3 } } \cdot b ^ { - \frac { 3 } { 3 } } \div ( - \frac { 2 } { 3 } a ^ { - \frac { 2 } { 3 } } b ^ { \frac { 3 } { 3 } } )$$

Aromātai

$$-\frac{6a^{\frac{4}{3}}}{b^{2}}$$

Ngā Upane Otinga

Whakawehea te 3 ki te 3, kia riro ko 1.

$$\frac{4a^{\frac{2}{3}}b^{-1}}{-\frac{2}{3}a^{-\frac{2}{3}}b^{\frac{3}{3}}}$$

Whakawehea te 3 ki te 3, kia riro ko 1.

$$\frac{4a^{\frac{2}{3}}b^{-1}}{-\frac{2}{3}a^{-\frac{2}{3}}b^{1}}$$

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

$$\frac{4b^{-1}a^{\frac{4}{3}}}{-\frac{2}{3}b^{1}}$$

Tātaihia te b mā te pū o 1, kia riro ko b.

$$\frac{4b^{-1}a^{\frac{4}{3}}}{-\frac{2}{3}b}$$

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

$$\frac{4a^{\frac{4}{3}}}{-\frac{2}{3}b^{2}}$$

Kimi Pārōnaki e ai ki a

$$-\frac{8\sqrt[3]{a}}{b^{2}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{4}{b\left(-\frac{2b^{1}}{3}\right)}a^{\frac{2}{3}-\left(-\frac{2}{3}\right)})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\left(-\frac{6}{b^{2}}\right)a^{\frac{4}{3}})$$

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}.

$$\frac{4}{3}\left(-\frac{6}{b^{2}}\right)a^{\frac{4}{3}-1}$$

Mahia ngā tātaitanga.

$$\left(-\frac{8}{b^{2}}\right)\sqrt[3]{a}$$