सोडोवचें ((2-3/9div3)^-2/94^2*frac{2/5})^-1

$$( \frac { ( 2 - \frac { 3 } { 9 } \div 3 ) ^ { - 2 } } { \frac { 9 } { 4 } ^ { 2 } \cdot \frac { 2 } { 5 } } ) ^ { - 1 }$$

मूल्यांकन करचें

$$\frac{289}{40}=7.225$$

सोडोवणी पांवडे

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

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

27 मेळोवंक 9 आनी 3 गुणचें.

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

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

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

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

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

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

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

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

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

\frac{81}{40} मेळोवंक \frac{81}{16} आनी \frac{2}{5} गुणचें.

$$\left(\frac{\frac{81}{289}}{\frac{81}{40}}\right)^{-1}$$

\frac{81}{40} च्या पुरकाक \frac{81}{289} गुणून \frac{81}{40} न \frac{81}{289} क भाग लावचो.

$$\left(\frac{81}{289}\times \frac{40}{81}\right)^{-1}$$

\frac{40}{289} मेळोवंक \frac{81}{289} आनी \frac{40}{81} गुणचें.

$$\left(\frac{40}{289}\right)^{-1}$$

\frac{289}{40} मेळोवंक -1 चो \frac{40}{289} पॉवर मेजचो.

$$\frac{289}{40}$$

गुणकपद

$$\frac{17 ^ {2}}{2 ^ {3} \cdot 5} = 7\frac{9}{40} = 7.225$$