Whakaoti i te frac{(2abc)^{3}}{(4b^{2}c)^2}*(3ac^2)^5/(9ab)^3

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

Aromātai

$$\frac{a^{5}c^{11}}{6b^{4}}$$

Ngā Upane Otinga

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

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

Tātaihia te 2 mā te pū o 3, kia riro ko 8.

$$\frac{8a^{3}b^{3}c^{3}}{\left(4b^{2}c\right)^{2}}\times \frac{\left(3ac^{2}\right)^{5}}{\left(9ab\right)^{3}}$$

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

$$\frac{8a^{3}b^{3}c^{3}}{4^{2}\left(b^{2}\right)^{2}c^{2}}\times \frac{\left(3ac^{2}\right)^{5}}{\left(9ab\right)^{3}}$$

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

$$\frac{8a^{3}b^{3}c^{3}}{4^{2}b^{4}c^{2}}\times \frac{\left(3ac^{2}\right)^{5}}{\left(9ab\right)^{3}}$$

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$\frac{8a^{3}b^{3}c^{3}}{16b^{4}c^{2}}\times \frac{\left(3ac^{2}\right)^{5}}{\left(9ab\right)^{3}}$$

Me whakakore tahi te 8c^{2}b^{3} i te taurunga me te tauraro.

$$\frac{ca^{3}}{2b}\times \frac{\left(3ac^{2}\right)^{5}}{\left(9ab\right)^{3}}$$

Whakarohaina te \left(3ac^{2}\right)^{5}.

$$\frac{ca^{3}}{2b}\times \frac{3^{5}a^{5}\left(c^{2}\right)^{5}}{\left(9ab\right)^{3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 5 kia riro ai te 10.

$$\frac{ca^{3}}{2b}\times \frac{3^{5}a^{5}c^{10}}{\left(9ab\right)^{3}}$$

Tātaihia te 3 mā te pū o 5, kia riro ko 243.

$$\frac{ca^{3}}{2b}\times \frac{243a^{5}c^{10}}{\left(9ab\right)^{3}}$$

Whakarohaina te \left(9ab\right)^{3}.

$$\frac{ca^{3}}{2b}\times \frac{243a^{5}c^{10}}{9^{3}a^{3}b^{3}}$$

Tātaihia te 9 mā te pū o 3, kia riro ko 729.

$$\frac{ca^{3}}{2b}\times \frac{243a^{5}c^{10}}{729a^{3}b^{3}}$$

Me whakakore tahi te 243a^{3} i te taurunga me te tauraro.

$$\frac{ca^{3}}{2b}\times \frac{a^{2}c^{10}}{3b^{3}}$$

Me whakarea te \frac{ca^{3}}{2b} ki te \frac{a^{2}c^{10}}{3b^{3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{ca^{3}a^{2}c^{10}}{2b\times 3b^{3}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 10 kia riro ai te 11.

$$\frac{c^{11}a^{3}a^{2}}{2b\times 3b^{3}}$$

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

$$\frac{c^{11}a^{5}}{2b\times 3b^{3}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 3 kia riro ai te 4.

$$\frac{c^{11}a^{5}}{2b^{4}\times 3}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{c^{11}a^{5}}{6b^{4}}$$

Whakaroha

$$\frac{a^{5}c^{11}}{6b^{4}}$$

Ngā Upane Otinga

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

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

Tātaihia te 2 mā te pū o 3, kia riro ko 8.

$$\frac{8a^{3}b^{3}c^{3}}{\left(4b^{2}c\right)^{2}}\times \frac{\left(3ac^{2}\right)^{5}}{\left(9ab\right)^{3}}$$

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

$$\frac{8a^{3}b^{3}c^{3}}{4^{2}\left(b^{2}\right)^{2}c^{2}}\times \frac{\left(3ac^{2}\right)^{5}}{\left(9ab\right)^{3}}$$

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

$$\frac{8a^{3}b^{3}c^{3}}{4^{2}b^{4}c^{2}}\times \frac{\left(3ac^{2}\right)^{5}}{\left(9ab\right)^{3}}$$

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$\frac{8a^{3}b^{3}c^{3}}{16b^{4}c^{2}}\times \frac{\left(3ac^{2}\right)^{5}}{\left(9ab\right)^{3}}$$

Me whakakore tahi te 8c^{2}b^{3} i te taurunga me te tauraro.

$$\frac{ca^{3}}{2b}\times \frac{\left(3ac^{2}\right)^{5}}{\left(9ab\right)^{3}}$$

Whakarohaina te \left(3ac^{2}\right)^{5}.

$$\frac{ca^{3}}{2b}\times \frac{3^{5}a^{5}\left(c^{2}\right)^{5}}{\left(9ab\right)^{3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 5 kia riro ai te 10.

$$\frac{ca^{3}}{2b}\times \frac{3^{5}a^{5}c^{10}}{\left(9ab\right)^{3}}$$

Tātaihia te 3 mā te pū o 5, kia riro ko 243.

$$\frac{ca^{3}}{2b}\times \frac{243a^{5}c^{10}}{\left(9ab\right)^{3}}$$

Whakarohaina te \left(9ab\right)^{3}.

$$\frac{ca^{3}}{2b}\times \frac{243a^{5}c^{10}}{9^{3}a^{3}b^{3}}$$

Tātaihia te 9 mā te pū o 3, kia riro ko 729.

$$\frac{ca^{3}}{2b}\times \frac{243a^{5}c^{10}}{729a^{3}b^{3}}$$

Me whakakore tahi te 243a^{3} i te taurunga me te tauraro.

$$\frac{ca^{3}}{2b}\times \frac{a^{2}c^{10}}{3b^{3}}$$

Me whakarea te \frac{ca^{3}}{2b} ki te \frac{a^{2}c^{10}}{3b^{3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{ca^{3}a^{2}c^{10}}{2b\times 3b^{3}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 10 kia riro ai te 11.

$$\frac{c^{11}a^{3}a^{2}}{2b\times 3b^{3}}$$

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

$$\frac{c^{11}a^{5}}{2b\times 3b^{3}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 3 kia riro ai te 4.

$$\frac{c^{11}a^{5}}{2b^{4}\times 3}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{c^{11}a^{5}}{6b^{4}}$$