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

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

Enrhifo

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

Camau Ateb

Mynegwch \frac{\frac{3}{9}}{3} fel ffracsiwn unigol.

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

Lluosi 9 a 3 i gael 27.

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

Lleihau'r ffracsiwn \frac{3}{27} i'r graddau lleiaf posib drwy dynnu a chanslo allan 3.

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

Tynnu \frac{1}{9} o 2 i gael \frac{17}{9}.

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

Cyfrifo \frac{17}{9} i bŵer -2 a chael \frac{81}{289}.

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

Cyfrifo \frac{9}{4} i bŵer 2 a chael \frac{81}{16}.

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

Cyfrifo 2 i bŵer -1 a chael \frac{1}{2}.

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

Mynegwch \frac{\frac{1}{2}}{5} fel ffracsiwn unigol.

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

Lluosi 2 a 5 i gael 10.

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

Lluosi \frac{81}{16} a \frac{1}{10} i gael \frac{81}{160}.

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

Rhannwch \frac{81}{289} â \frac{81}{160} drwy luosi \frac{81}{289} â chilydd \frac{81}{160}.

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

Lluosi \frac{81}{289} a \frac{160}{81} i gael \frac{160}{289}.

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

Cyfrifo \frac{160}{289} i bŵer 1 a chael \frac{160}{289}.

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

Cyfrifo \frac{160}{289} i bŵer -1 a chael \frac{289}{160}.

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

Ffactor

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