Whakaoti i te 5ab*(-3/4ab^2)*(-2/3ab^2c)^3

$$5 a b \cdot ( - \frac { 3 } { 4 } a b ^ { 2 } ) \cdot ( - \frac { 2 } { 3 } a b ^ { 2 } c ) ^ { 3 }$$

Aromātai

$$\frac{10c^{3}a^{5}b^{9}}{9}$$

Ngā Upane Otinga

Whakareatia te a ki te a, ka a^{2}.

$$5a^{2}b\left(-\frac{3}{4}\right)b^{2}\left(-\frac{2}{3}ab^{2}c\right)^{3}$$

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

$$5a^{2}b^{3}\left(-\frac{3}{4}\right)\left(-\frac{2}{3}ab^{2}c\right)^{3}$$

Whakareatia te 5 ki te -\frac{3}{4}, ka -\frac{15}{4}.

$$-\frac{15}{4}a^{2}b^{3}\left(-\frac{2}{3}ab^{2}c\right)^{3}$$

Whakarohaina te \left(-\frac{2}{3}ab^{2}c\right)^{3}.

$$-\frac{15}{4}a^{2}b^{3}\left(-\frac{2}{3}\right)^{3}a^{3}\left(b^{2}\right)^{3}c^{3}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 3 kia riro ai te 6.

$$-\frac{15}{4}a^{2}b^{3}\left(-\frac{2}{3}\right)^{3}a^{3}b^{6}c^{3}$$

Tātaihia te -\frac{2}{3} mā te pū o 3, kia riro ko -\frac{8}{27}.

$$-\frac{15}{4}a^{2}b^{3}\left(-\frac{8}{27}\right)a^{3}b^{6}c^{3}$$

Whakareatia te -\frac{15}{4} ki te -\frac{8}{27}, ka \frac{10}{9}.

$$\frac{10}{9}a^{2}b^{3}a^{3}b^{6}c^{3}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 3 kia riro ai te 5.

$$\frac{10}{9}a^{5}b^{3}b^{6}c^{3}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 6 kia riro ai te 9.

$$\frac{10}{9}a^{5}b^{9}c^{3}$$

Whakaroha

$$\frac{10c^{3}a^{5}b^{9}}{9}$$

Ngā Upane Otinga

Whakareatia te a ki te a, ka a^{2}.

$$5a^{2}b\left(-\frac{3}{4}\right)b^{2}\left(-\frac{2}{3}ab^{2}c\right)^{3}$$

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

$$5a^{2}b^{3}\left(-\frac{3}{4}\right)\left(-\frac{2}{3}ab^{2}c\right)^{3}$$

Whakareatia te 5 ki te -\frac{3}{4}, ka -\frac{15}{4}.

$$-\frac{15}{4}a^{2}b^{3}\left(-\frac{2}{3}ab^{2}c\right)^{3}$$

Whakarohaina te \left(-\frac{2}{3}ab^{2}c\right)^{3}.

$$-\frac{15}{4}a^{2}b^{3}\left(-\frac{2}{3}\right)^{3}a^{3}\left(b^{2}\right)^{3}c^{3}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 3 kia riro ai te 6.

$$-\frac{15}{4}a^{2}b^{3}\left(-\frac{2}{3}\right)^{3}a^{3}b^{6}c^{3}$$

Tātaihia te -\frac{2}{3} mā te pū o 3, kia riro ko -\frac{8}{27}.

$$-\frac{15}{4}a^{2}b^{3}\left(-\frac{8}{27}\right)a^{3}b^{6}c^{3}$$

Whakareatia te -\frac{15}{4} ki te -\frac{8}{27}, ka \frac{10}{9}.

$$\frac{10}{9}a^{2}b^{3}a^{3}b^{6}c^{3}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 3 kia riro ai te 5.

$$\frac{10}{9}a^{5}b^{3}b^{6}c^{3}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 6 kia riro ai te 9.

$$\frac{10}{9}a^{5}b^{9}c^{3}$$