Whakaoti i te ((23/9div3)^-2/94^2*frac{2/5})

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

Aromātai

$$\frac{40}{49}\approx 0.816326531$$

Ngā Upane Otinga

Tuhia te \frac{\frac{2\times 9+3}{9}}{3} hei hautanga kotahi.

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

Whakareatia te 2 ki te 9, ka 18.

$$\frac{\left(\frac{18+3}{9\times 3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

Tāpirihia te 18 ki te 3, ka 21.

$$\frac{\left(\frac{21}{9\times 3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

Whakareatia te 9 ki te 3, ka 27.

$$\frac{\left(\frac{21}{27}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

Whakahekea te hautanga \frac{21}{27} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{\left(\frac{7}{9}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

Tātaihia te \frac{7}{9} mā te pū o -2, kia riro ko \frac{81}{49}.

$$\frac{\frac{81}{49}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

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

$$\frac{\frac{81}{49}}{\frac{81}{16}\times \frac{2}{5}}$$

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

$$\frac{\frac{81}{49}}{\frac{81}{40}}$$

Whakawehe \frac{81}{49} ki te \frac{81}{40} mā te whakarea \frac{81}{49} ki te tau huripoki o \frac{81}{40}.

$$\frac{81}{49}\times \frac{40}{81}$$

Whakareatia te \frac{81}{49} ki te \frac{40}{81}, ka \frac{40}{49}.

$$\frac{40}{49}$$

Tauwehe

$$\frac{2 ^ {3} \cdot 5}{7 ^ {2}} = 0.8163265306122449$$