Whakaoti i te [-3/2a^{3}b^{2}]^{4}*[a^2/3a^2b^5]^3

$$[ - \frac { 3 } { 2 } a ^ { 3 } b ^ { 2 } ] ^ { 4 } \cdot [ \frac { a ^ { 2 } } { 3 } a ^ { 2 } b ^ { 5 } ] ^ { 3 }$$

Aromātai

$$\frac{3b^{23}a^{24}}{16}$$

Ngā Upane Otinga

Whakarohaina te \left(-\frac{3}{2}a^{3}b^{2}\right)^{4}.

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

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 4 kia riro ai te 12.

$$\left(-\frac{3}{2}\right)^{4}a^{12}\left(b^{2}\right)^{4}\times \left(\frac{a^{2}}{3}a^{2}b^{5}\right)^{3}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 4 kia riro ai te 8.

$$\left(-\frac{3}{2}\right)^{4}a^{12}b^{8}\times \left(\frac{a^{2}}{3}a^{2}b^{5}\right)^{3}$$

Tātaihia te -\frac{3}{2} mā te pū o 4, kia riro ko \frac{81}{16}.

$$\frac{81}{16}a^{12}b^{8}\times \left(\frac{a^{2}}{3}a^{2}b^{5}\right)^{3}$$

Tuhia te \frac{a^{2}}{3}a^{2} hei hautanga kotahi.

$$\frac{81}{16}a^{12}b^{8}\times \left(\frac{a^{2}a^{2}}{3}b^{5}\right)^{3}$$

Tuhia te \frac{a^{2}a^{2}}{3}b^{5} hei hautanga kotahi.

$$\frac{81}{16}a^{12}b^{8}\times \left(\frac{a^{2}a^{2}b^{5}}{3}\right)^{3}$$

Kia whakarewa i te \frac{a^{2}a^{2}b^{5}}{3} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{81}{16}a^{12}b^{8}\times \frac{\left(a^{2}a^{2}b^{5}\right)^{3}}{3^{3}}$$

Me whakarea te \frac{81}{16} ki te \frac{\left(a^{2}a^{2}b^{5}\right)^{3}}{3^{3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{81\left(a^{2}a^{2}b^{5}\right)^{3}}{16\times 3^{3}}a^{12}b^{8}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 2 kia riro ai te 4.

$$\frac{81\left(a^{4}b^{5}\right)^{3}}{16\times 3^{3}}a^{12}b^{8}$$

Whakarohaina te \left(a^{4}b^{5}\right)^{3}.

$$\frac{81\left(a^{4}\right)^{3}\left(b^{5}\right)^{3}}{16\times 3^{3}}a^{12}b^{8}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te 3 kia riro ai te 12.

$$\frac{81a^{12}\left(b^{5}\right)^{3}}{16\times 3^{3}}a^{12}b^{8}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 5 me te 3 kia riro ai te 15.

$$\frac{81a^{12}b^{15}}{16\times 3^{3}}a^{12}b^{8}$$

Tātaihia te 3 mā te pū o 3, kia riro ko 27.

$$\frac{81a^{12}b^{15}}{16\times 27}a^{12}b^{8}$$

Whakareatia te 16 ki te 27, ka 432.

$$\frac{81a^{12}b^{15}}{432}a^{12}b^{8}$$

Whakawehea te 81a^{12}b^{15} ki te 432, kia riro ko \frac{3}{16}a^{12}b^{15}.

$$\frac{3}{16}a^{12}b^{15}a^{12}b^{8}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 12 me te 12 kia riro ai te 24.

$$\frac{3}{16}a^{24}b^{15}b^{8}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 15 me te 8 kia riro ai te 23.

$$\frac{3}{16}a^{24}b^{23}$$

Whakaroha

$$\frac{3b^{23}a^{24}}{16}$$

Ngā Upane Otinga

Whakarohaina te \left(-\frac{3}{2}a^{3}b^{2}\right)^{4}.

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

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 4 kia riro ai te 12.

$$\left(-\frac{3}{2}\right)^{4}a^{12}\left(b^{2}\right)^{4}\times \left(\frac{a^{2}}{3}a^{2}b^{5}\right)^{3}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 4 kia riro ai te 8.

$$\left(-\frac{3}{2}\right)^{4}a^{12}b^{8}\times \left(\frac{a^{2}}{3}a^{2}b^{5}\right)^{3}$$

Tātaihia te -\frac{3}{2} mā te pū o 4, kia riro ko \frac{81}{16}.

$$\frac{81}{16}a^{12}b^{8}\times \left(\frac{a^{2}}{3}a^{2}b^{5}\right)^{3}$$

Tuhia te \frac{a^{2}}{3}a^{2} hei hautanga kotahi.

$$\frac{81}{16}a^{12}b^{8}\times \left(\frac{a^{2}a^{2}}{3}b^{5}\right)^{3}$$

Tuhia te \frac{a^{2}a^{2}}{3}b^{5} hei hautanga kotahi.

$$\frac{81}{16}a^{12}b^{8}\times \left(\frac{a^{2}a^{2}b^{5}}{3}\right)^{3}$$

Kia whakarewa i te \frac{a^{2}a^{2}b^{5}}{3} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{81}{16}a^{12}b^{8}\times \frac{\left(a^{2}a^{2}b^{5}\right)^{3}}{3^{3}}$$

Me whakarea te \frac{81}{16} ki te \frac{\left(a^{2}a^{2}b^{5}\right)^{3}}{3^{3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{81\left(a^{2}a^{2}b^{5}\right)^{3}}{16\times 3^{3}}a^{12}b^{8}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 2 kia riro ai te 4.

$$\frac{81\left(a^{4}b^{5}\right)^{3}}{16\times 3^{3}}a^{12}b^{8}$$

Whakarohaina te \left(a^{4}b^{5}\right)^{3}.

$$\frac{81\left(a^{4}\right)^{3}\left(b^{5}\right)^{3}}{16\times 3^{3}}a^{12}b^{8}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te 3 kia riro ai te 12.

$$\frac{81a^{12}\left(b^{5}\right)^{3}}{16\times 3^{3}}a^{12}b^{8}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 5 me te 3 kia riro ai te 15.

$$\frac{81a^{12}b^{15}}{16\times 3^{3}}a^{12}b^{8}$$

Tātaihia te 3 mā te pū o 3, kia riro ko 27.

$$\frac{81a^{12}b^{15}}{16\times 27}a^{12}b^{8}$$

Whakareatia te 16 ki te 27, ka 432.

$$\frac{81a^{12}b^{15}}{432}a^{12}b^{8}$$

Whakawehea te 81a^{12}b^{15} ki te 432, kia riro ko \frac{3}{16}a^{12}b^{15}.

$$\frac{3}{16}a^{12}b^{15}a^{12}b^{8}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 12 me te 12 kia riro ai te 24.

$$\frac{3}{16}a^{24}b^{15}b^{8}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 15 me te 8 kia riro ai te 23.

$$\frac{3}{16}a^{24}b^{23}$$