Whakaoti i te (2^5*3^-2*11^-1)^-2

$$( 2 ^ { 5 } \times 3 ^ { - 2 } \times 11 ^ { - 1 } ) ^ { - 2 }$$

Aromātai

$$\frac{9801}{1024}=9.571289062$$

Ngā Upane Otinga

Tātaihia te 2 mā te pū o 5, kia riro ko 32.

$$\left(32\times 3^{-2}\times 11^{-1}\right)^{-2}$$

Tātaihia te 3 mā te pū o -2, kia riro ko \frac{1}{9}.

$$\left(32\times \frac{1}{9}\times 11^{-1}\right)^{-2}$$

Whakareatia te 32 ki te \frac{1}{9}, ka \frac{32}{9}.

$$\left(\frac{32}{9}\times 11^{-1}\right)^{-2}$$

Tātaihia te 11 mā te pū o -1, kia riro ko \frac{1}{11}.

$$\left(\frac{32}{9}\times \frac{1}{11}\right)^{-2}$$

Whakareatia te \frac{32}{9} ki te \frac{1}{11}, ka \frac{32}{99}.

$$\left(\frac{32}{99}\right)^{-2}$$

Tātaihia te \frac{32}{99} mā te pū o -2, kia riro ko \frac{9801}{1024}.

$$\frac{9801}{1024}$$

Tauwehe

$$\frac{3 ^ {4} \cdot 11 ^ {2}}{2 ^ {10}} = 9\frac{585}{1024} = 9.5712890625$$