Whakaoti i te (frac{4a^{2}b^{3}}{3c^{4}})^3(6ac^5/8b^2)^3

$$( \frac { 4 a ^ { 2 } b ^ { 3 } } { 3 c ^ { 4 } } ) ^ { 3 } ( \frac { 6 a c ^ { 5 } } { 8 b ^ { 2 } } ) ^ { 3 }$$

Aromātai

$$a^{9}\left(bc\right)^{3}$$

Ngā Upane Otinga

Kia whakarewa i te \frac{4a^{2}b^{3}}{3c^{4}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(4a^{2}b^{3}\right)^{3}}{\left(3c^{4}\right)^{3}}\times \left(\frac{6ac^{5}}{8b^{2}}\right)^{3}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

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

Kia whakarewa i te \frac{3ac^{5}}{4b^{2}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

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

Me whakarea te \frac{\left(4a^{2}b^{3}\right)^{3}}{\left(3c^{4}\right)^{3}} ki te \frac{\left(3ac^{5}\right)^{3}}{\left(4b^{2}\right)^{3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

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

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

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

$$\frac{4^{3}a^{6}\left(b^{3}\right)^{3}\times \left(3ac^{5}\right)^{3}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 3 kia riro ai te 9.

$$\frac{4^{3}a^{6}b^{9}\times \left(3ac^{5}\right)^{3}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

Tātaihia te 4 mā te pū o 3, kia riro ko 64.

$$\frac{64a^{6}b^{9}\times \left(3ac^{5}\right)^{3}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

Whakarohaina te \left(3ac^{5}\right)^{3}.

$$\frac{64a^{6}b^{9}\times 3^{3}a^{3}\left(c^{5}\right)^{3}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

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

$$\frac{64a^{6}b^{9}\times 3^{3}a^{3}c^{15}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

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

$$\frac{64a^{6}b^{9}\times 27a^{3}c^{15}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

Whakareatia te 64 ki te 27, ka 1728.

$$\frac{1728a^{6}b^{9}a^{3}c^{15}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

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

$$\frac{1728a^{9}b^{9}c^{15}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

Whakarohaina te \left(3c^{4}\right)^{3}.

$$\frac{1728a^{9}b^{9}c^{15}}{3^{3}\left(c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

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

$$\frac{1728a^{9}b^{9}c^{15}}{3^{3}c^{12}\times \left(4b^{2}\right)^{3}}$$

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

$$\frac{1728a^{9}b^{9}c^{15}}{27c^{12}\times \left(4b^{2}\right)^{3}}$$

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

$$\frac{1728a^{9}b^{9}c^{15}}{27c^{12}\times 4^{3}\left(b^{2}\right)^{3}}$$

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

$$\frac{1728a^{9}b^{9}c^{15}}{27c^{12}\times 4^{3}b^{6}}$$

Tātaihia te 4 mā te pū o 3, kia riro ko 64.

$$\frac{1728a^{9}b^{9}c^{15}}{27c^{12}\times 64b^{6}}$$

Whakareatia te 27 ki te 64, ka 1728.

$$\frac{1728a^{9}b^{9}c^{15}}{1728c^{12}b^{6}}$$

Me whakakore tahi te 1728b^{6}c^{12} i te taurunga me te tauraro.

$$b^{3}c^{3}a^{9}$$

Whakaroha

$$a^{9}\left(bc\right)^{3}$$

Ngā Upane Otinga

Kia whakarewa i te \frac{4a^{2}b^{3}}{3c^{4}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(4a^{2}b^{3}\right)^{3}}{\left(3c^{4}\right)^{3}}\times \left(\frac{6ac^{5}}{8b^{2}}\right)^{3}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

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

Kia whakarewa i te \frac{3ac^{5}}{4b^{2}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

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

Me whakarea te \frac{\left(4a^{2}b^{3}\right)^{3}}{\left(3c^{4}\right)^{3}} ki te \frac{\left(3ac^{5}\right)^{3}}{\left(4b^{2}\right)^{3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

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

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

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

$$\frac{4^{3}a^{6}\left(b^{3}\right)^{3}\times \left(3ac^{5}\right)^{3}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 3 kia riro ai te 9.

$$\frac{4^{3}a^{6}b^{9}\times \left(3ac^{5}\right)^{3}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

Tātaihia te 4 mā te pū o 3, kia riro ko 64.

$$\frac{64a^{6}b^{9}\times \left(3ac^{5}\right)^{3}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

Whakarohaina te \left(3ac^{5}\right)^{3}.

$$\frac{64a^{6}b^{9}\times 3^{3}a^{3}\left(c^{5}\right)^{3}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

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

$$\frac{64a^{6}b^{9}\times 3^{3}a^{3}c^{15}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

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

$$\frac{64a^{6}b^{9}\times 27a^{3}c^{15}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

Whakareatia te 64 ki te 27, ka 1728.

$$\frac{1728a^{6}b^{9}a^{3}c^{15}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

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

$$\frac{1728a^{9}b^{9}c^{15}}{\left(3c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

Whakarohaina te \left(3c^{4}\right)^{3}.

$$\frac{1728a^{9}b^{9}c^{15}}{3^{3}\left(c^{4}\right)^{3}\times \left(4b^{2}\right)^{3}}$$

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

$$\frac{1728a^{9}b^{9}c^{15}}{3^{3}c^{12}\times \left(4b^{2}\right)^{3}}$$

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

$$\frac{1728a^{9}b^{9}c^{15}}{27c^{12}\times \left(4b^{2}\right)^{3}}$$

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

$$\frac{1728a^{9}b^{9}c^{15}}{27c^{12}\times 4^{3}\left(b^{2}\right)^{3}}$$

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

$$\frac{1728a^{9}b^{9}c^{15}}{27c^{12}\times 4^{3}b^{6}}$$

Tātaihia te 4 mā te pū o 3, kia riro ko 64.

$$\frac{1728a^{9}b^{9}c^{15}}{27c^{12}\times 64b^{6}}$$

Whakareatia te 27 ki te 64, ka 1728.

$$\frac{1728a^{9}b^{9}c^{15}}{1728c^{12}b^{6}}$$

Me whakakore tahi te 1728b^{6}c^{12} i te taurunga me te tauraro.

$$b^{3}c^{3}a^{9}$$