Whakaoti i te frac{(4^{2})^{3}*6^{3}*6^{2}*(6^{2})^{3}*4^{0}*4^{-2}}{(6^{3})^2-4^-2*4^5*6^3}

$$\frac { ( 4 ^ { 2 } ) ^ { 3 } \cdot 6 ^ { 3 } \cdot 6 ^ { 2 } \cdot ( 6 ^ { 2 } ) ^ { 3 } \cdot 4 ^ { 0 } \cdot 4 ^ { - 2 } } { ( 6 ^ { 3 } ) ^ { 2 } - 4 ^ { - 2 } \cdot 4 ^ { 5 } \cdot 6 ^ { 3 } }$$

Aromātai

$$\frac{53747712}{19}\approx 2828826.947368421$$

Ngā Upane Otinga

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

$$\frac{4^{6}\times 6^{3}\times 6^{2}\times \left(6^{2}\right)^{3}\times 4^{0}\times 4^{-2}}{\left(6^{3}\right)^{2}-4^{-2}\times 4^{5}\times 6^{3}}$$

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

$$\frac{4^{6}\times 6^{3}\times 6^{2}\times 6^{6}\times 4^{0}\times 4^{-2}}{\left(6^{3}\right)^{2}-4^{-2}\times 4^{5}\times 6^{3}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 6 me te 0 kia riro ai te 6.

$$\frac{4^{6}\times 6^{3}\times 6^{2}\times 6^{6}\times 4^{-2}}{\left(6^{3}\right)^{2}-4^{-2}\times 4^{5}\times 6^{3}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 6 me te -2 kia riro ai te 4.

$$\frac{4^{4}\times 6^{3}\times 6^{2}\times 6^{6}}{\left(6^{3}\right)^{2}-4^{-2}\times 4^{5}\times 6^{3}}$$

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.

$$\frac{4^{4}\times 6^{5}\times 6^{6}}{\left(6^{3}\right)^{2}-4^{-2}\times 4^{5}\times 6^{3}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 5 me te 6 kia riro ai te 11.

$$\frac{4^{4}\times 6^{11}}{\left(6^{3}\right)^{2}-4^{-2}\times 4^{5}\times 6^{3}}$$

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

$$\frac{4^{4}\times 6^{11}}{6^{6}-4^{-2}\times 4^{5}\times 6^{3}}$$

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

$$\frac{4^{4}\times 6^{11}}{6^{6}-4^{3}\times 6^{3}}$$

Tātaihia te 4 mā te pū o 4, kia riro ko 256.

$$\frac{256\times 6^{11}}{6^{6}-4^{3}\times 6^{3}}$$

Tātaihia te 6 mā te pū o 11, kia riro ko 362797056.

$$\frac{256\times 362797056}{6^{6}-4^{3}\times 6^{3}}$$

Whakareatia te 256 ki te 362797056, ka 92876046336.

$$\frac{92876046336}{6^{6}-4^{3}\times 6^{3}}$$

Tātaihia te 6 mā te pū o 6, kia riro ko 46656.

$$\frac{92876046336}{46656-4^{3}\times 6^{3}}$$

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

$$\frac{92876046336}{46656-64\times 6^{3}}$$

Tātaihia te 6 mā te pū o 3, kia riro ko 216.

$$\frac{92876046336}{46656-64\times 216}$$

Whakareatia te 64 ki te 216, ka 13824.

$$\frac{92876046336}{46656-13824}$$

Tangohia te 13824 i te 46656, ka 32832.

$$\frac{92876046336}{32832}$$

Whakahekea te hautanga \frac{92876046336}{32832} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 1728.

$$\frac{53747712}{19}$$

Tauwehe

$$\frac{2 ^ {13} \cdot 3 ^ {8}}{19} = 2828826\frac{18}{19} = 2828826.947368421$$