Whakaoti i te (frac{5^{4}*2^7*5^2}{3^2*4^2})

$$( \frac { 5 ^ { 4 } \times 2 ^ { 7 } \times 5 ^ { 2 } } { 3 ^ { 2 } \times 4 ^ { 2 } } )$$

Aromātai

$$\frac{125000}{9}\approx 13888.888888889$$

Ngā Upane Otinga

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

$$\frac{5^{6}\times 2^{7}}{3^{2}\times 4^{2}}$$

Tātaihia te 5 mā te pū o 6, kia riro ko 15625.

$$\frac{15625\times 2^{7}}{3^{2}\times 4^{2}}$$

Tātaihia te 2 mā te pū o 7, kia riro ko 128.

$$\frac{15625\times 128}{3^{2}\times 4^{2}}$$

Whakareatia te 15625 ki te 128, ka 2000000.

$$\frac{2000000}{3^{2}\times 4^{2}}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$\frac{2000000}{9\times 4^{2}}$$

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

$$\frac{2000000}{9\times 16}$$

Whakareatia te 9 ki te 16, ka 144.

$$\frac{2000000}{144}$$

Whakahekea te hautanga \frac{2000000}{144} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 16.

$$\frac{125000}{9}$$

Tauwehe

$$\frac{2 ^ {3} \cdot 5 ^ {6}}{3 ^ {2}} = 13888\frac{8}{9} = 13888.888888888889$$