Whakaoti i te {left({left({left(2-frac{3/9/3right)}^-2}{{left(9/4right)}^22^-1/5}right)}^right)}^-1

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

Aromātai

$$\frac{289}{160}=1.80625$$

Ngā Upane Otinga

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

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

Whakareatia te 9 ki te 3, ka 27.

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

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

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

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

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

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

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

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

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

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

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

Tuhia te \frac{\frac{1}{2}}{5} hei hautanga kotahi.

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

Whakareatia te 2 ki te 5, ka 10.

$$\left(\left(\frac{\frac{81}{289}}{\frac{81}{16}\times \frac{1}{10}}\right)^{1}\right)^{-1}$$

Whakareatia te \frac{81}{16} ki te \frac{1}{10}, ka \frac{81}{160}.

$$\left(\left(\frac{\frac{81}{289}}{\frac{81}{160}}\right)^{1}\right)^{-1}$$

Whakawehe \frac{81}{289} ki te \frac{81}{160} mā te whakarea \frac{81}{289} ki te tau huripoki o \frac{81}{160}.

$$\left(\left(\frac{81}{289}\times \frac{160}{81}\right)^{1}\right)^{-1}$$

Whakareatia te \frac{81}{289} ki te \frac{160}{81}, ka \frac{160}{289}.

$$\left(\left(\frac{160}{289}\right)^{1}\right)^{-1}$$

Tātaihia te \frac{160}{289} mā te pū o 1, kia riro ko \frac{160}{289}.

$$\left(\frac{160}{289}\right)^{-1}$$

Tātaihia te \frac{160}{289} mā te pū o -1, kia riro ko \frac{289}{160}.

$$\frac{289}{160}$$

Tauwehe

$$\frac{17 ^ {2}}{2 ^ {5} \cdot 5} = 1\frac{129}{160} = 1.80625$$