Whakaoti i te 2^{-4}*3^4*4^-3*5^3*3^5=

$$2 ^ { - 4 } \cdot 3 ^ { 4 } \cdot 4 ^ { - 3 } \cdot 5 ^ { 3 } \cdot 3 ^ { 5 } =$$

Aromātai

$$\frac{2460375}{1024}\approx 2402.709960938$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 5 kia riro ai te 9.

$$2^{-4}\times 3^{9}\times 4^{-3}\times 5^{3}$$

Tātaihia te 2 mā te pū o -4, kia riro ko \frac{1}{16}.

$$\frac{1}{16}\times 3^{9}\times 4^{-3}\times 5^{3}$$

Tātaihia te 3 mā te pū o 9, kia riro ko 19683.

$$\frac{1}{16}\times 19683\times 4^{-3}\times 5^{3}$$

Whakareatia te \frac{1}{16} ki te 19683, ka \frac{19683}{16}.

$$\frac{19683}{16}\times 4^{-3}\times 5^{3}$$

Tātaihia te 4 mā te pū o -3, kia riro ko \frac{1}{64}.

$$\frac{19683}{16}\times \frac{1}{64}\times 5^{3}$$

Whakareatia te \frac{19683}{16} ki te \frac{1}{64}, ka \frac{19683}{1024}.

$$\frac{19683}{1024}\times 5^{3}$$

Tātaihia te 5 mā te pū o 3, kia riro ko 125.

$$\frac{19683}{1024}\times 125$$

Whakareatia te \frac{19683}{1024} ki te 125, ka \frac{2460375}{1024}.

$$\frac{2460375}{1024}$$

Tauwehe

$$\frac{3 ^ {9} \cdot 5 ^ {3}}{2 ^ {10}} = 2402\frac{727}{1024} = 2402.7099609375$$