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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Esprimi \frac{\frac{3}{9}}{3} bħala frazzjoni waħda.

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

Immultiplika 9 u 3 biex tikseb 27.

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

Naqqas il-frazzjoni \frac{3}{27} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

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

Naqqas \frac{1}{9} minn 2 biex tikseb \frac{17}{9}.

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

Ikkalkula \frac{17}{9} bil-power ta' -2 u tikseb \frac{81}{289}.

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

Ikkalkula \frac{9}{4} bil-power ta' 2 u tikseb \frac{81}{16}.

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

Ikkalkula 2 bil-power ta' -1 u tikseb \frac{1}{2}.

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

Esprimi \frac{\frac{1}{2}}{5} bħala frazzjoni waħda.

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

Immultiplika 2 u 5 biex tikseb 10.

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

Immultiplika \frac{81}{16} u \frac{1}{10} biex tikseb \frac{81}{160}.

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

Iddividi \frac{81}{289} b'\frac{81}{160} billi timmultiplika \frac{81}{289} bir-reċiproku ta' \frac{81}{160}.

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

Immultiplika \frac{81}{289} u \frac{160}{81} biex tikseb \frac{160}{289}.

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

Ikkalkula \frac{160}{289} bil-power ta' 1 u tikseb \frac{160}{289}.

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

Ikkalkula \frac{160}{289} bil-power ta' -1 u tikseb \frac{289}{160}.

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

Fattur

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