सोडोवचें ((2*3/9div3)^-2/(frac{9{4})^2*(2/5)^-1})^-1

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

मूल्यांकन करचें

$$\frac{5}{8}=0.625$$

सोडोवणी पांवडे

3 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{3}{9} उणो करचो.

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

\frac{2}{3} मेळोवंक 2 आनी \frac{1}{3} गुणचें.

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

एकोडो अपूर्णांक म्हूण \frac{\frac{2}{3}}{3} स्पश्ट करचें.

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

9 मेळोवंक 3 आनी 3 गुणचें.

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

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

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

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

$$\left(\frac{\frac{81}{4}}{\frac{81}{16}\times \left(\frac{2}{5}\right)^{-1}}\right)^{-1}$$

\frac{5}{2} मेळोवंक -1 चो \frac{2}{5} पॉवर मेजचो.

$$\left(\frac{\frac{81}{4}}{\frac{81}{16}\times \frac{5}{2}}\right)^{-1}$$

\frac{405}{32} मेळोवंक \frac{81}{16} आनी \frac{5}{2} गुणचें.

$$\left(\frac{\frac{81}{4}}{\frac{405}{32}}\right)^{-1}$$

\frac{405}{32} च्या पुरकाक \frac{81}{4} गुणून \frac{405}{32} न \frac{81}{4} क भाग लावचो.

$$\left(\frac{81}{4}\times \frac{32}{405}\right)^{-1}$$

\frac{8}{5} मेळोवंक \frac{81}{4} आनी \frac{32}{405} गुणचें.

$$\left(\frac{8}{5}\right)^{-1}$$

\frac{5}{8} मेळोवंक -1 चो \frac{8}{5} पॉवर मेजचो.

$$\frac{5}{8}$$

गुणकपद

$$\frac{5}{2 ^ {3}} = 0.625$$