Whakaoti i te frac{15^{4}*18^3}{3^3*5^2*12^2}

$$\frac { 15 ^ { 4 } \times 18 ^ { 3 } } { 3 ^ { 3 } \times 5 ^ { 2 } \times 12 ^ { 2 } }$$

Aromātai

$$\frac{6075}{2}=3037.5$$

Ngā Upane Otinga

Tātaihia te 15 mā te pū o 4, kia riro ko 50625.

$$\frac{50625\times 18^{3}}{3^{3}\times 5^{2}\times 12^{2}}$$

Tātaihia te 18 mā te pū o 3, kia riro ko 5832.

$$\frac{50625\times 5832}{3^{3}\times 5^{2}\times 12^{2}}$$

Whakareatia te 50625 ki te 5832, ka 295245000.

$$\frac{295245000}{3^{3}\times 5^{2}\times 12^{2}}$$

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

$$\frac{295245000}{27\times 5^{2}\times 12^{2}}$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$\frac{295245000}{27\times 25\times 12^{2}}$$

Whakareatia te 27 ki te 25, ka 675.

$$\frac{295245000}{675\times 12^{2}}$$

Tātaihia te 12 mā te pū o 2, kia riro ko 144.

$$\frac{295245000}{675\times 144}$$

Whakareatia te 675 ki te 144, ka 97200.

$$\frac{295245000}{97200}$$

Whakahekea te hautanga \frac{295245000}{97200} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 48600.

$$\frac{6075}{2}$$

Tauwehe

$$\frac{3 ^ {5} \cdot 5 ^ {2}}{2} = 3037\frac{1}{2} = 3037.5$$