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

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

मूल्यांकन करचें

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

सोडोवणी पांवडे

एकोडो अपूर्णांक म्हूण \frac{\frac{3}{9}}{3} स्पश्ट करचें.

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

27 मेळोवंक 9 आनी 3 गुणचें.

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

3 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{3}{27} उणो करचो.

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

\frac{17}{9} मेळोवंक 2 आनी \frac{1}{9} वजा करचे.

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

\frac{81}{289} मेळोवंक -2 चो \frac{17}{9} पॉवर मेजचो.

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

\frac{81}{16} मेळोवंक 2 चो \frac{9}{4} पॉवर मेजचो.

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

\frac{1}{2} मेळोवंक -1 चो 2 पॉवर मेजचो.

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

एकोडो अपूर्णांक म्हूण \frac{\frac{1}{2}}{5} स्पश्ट करचें.

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

10 मेळोवंक 2 आनी 5 गुणचें.

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

\frac{81}{160} मेळोवंक \frac{81}{16} आनी \frac{1}{10} गुणचें.

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

\frac{81}{160} च्या पुरकाक \frac{81}{289} गुणून \frac{81}{160} न \frac{81}{289} क भाग लावचो.

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

\frac{160}{289} मेळोवंक \frac{81}{289} आनी \frac{160}{81} गुणचें.

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

\frac{289}{160} मेळोवंक -1 चो \frac{160}{289} पॉवर मेजचो.

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

गुणकपद

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