Whakaoti i te ((2-3/9div3)^-2/94^2*frac{2/5})^-1

$$( \frac { ( 2 - \frac { 3 } { 9 } \div 3 ) ^ { - 2 } } { \frac { 9 } { 4 } ^ { 2 } \cdot \frac { 2 } { 5 } } ) ^ { - 1 }$$

Aromātai

$$\frac{289}{40}=7.225$$

Ngā Upane Otinga

Tuhia te \frac{\frac{3}{9}}{3} hei hautanga kotahi.

$$\left(\frac{\left(2-\frac{3}{9\times 3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}\right)^{-1}$$

Whakareatia te 9 ki te 3, ka 27.

$$\left(\frac{\left(2-\frac{3}{27}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}\right)^{-1}$$

Whakahekea te hautanga \frac{3}{27} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\left(\frac{\left(2-\frac{1}{9}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}\right)^{-1}$$

Tangohia te \frac{1}{9} i te 2, ka \frac{17}{9}.

$$\left(\frac{\left(\frac{17}{9}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}\right)^{-1}$$

Tātaihia te \frac{17}{9} mā te pū o -2, kia riro ko \frac{81}{289}.

$$\left(\frac{\frac{81}{289}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}\right)^{-1}$$

Tātaihia te \frac{9}{4} mā te pū o 2, kia riro ko \frac{81}{16}.

$$\left(\frac{\frac{81}{289}}{\frac{81}{16}\times \frac{2}{5}}\right)^{-1}$$

Whakareatia te \frac{81}{16} ki te \frac{2}{5}, ka \frac{81}{40}.

$$\left(\frac{\frac{81}{289}}{\frac{81}{40}}\right)^{-1}$$

Whakawehe \frac{81}{289} ki te \frac{81}{40} mā te whakarea \frac{81}{289} ki te tau huripoki o \frac{81}{40}.

$$\left(\frac{81}{289}\times \frac{40}{81}\right)^{-1}$$

Whakareatia te \frac{81}{289} ki te \frac{40}{81}, ka \frac{40}{289}.

$$\left(\frac{40}{289}\right)^{-1}$$

Tātaihia te \frac{40}{289} mā te pū o -1, kia riro ko \frac{289}{40}.

$$\frac{289}{40}$$

Tauwehe

$$\frac{17 ^ {2}}{2 ^ {3} \cdot 5} = 7\frac{9}{40} = 7.225$$