सोडोवचें 2^-1[(5/3)^4+(3/5)^-2]div17/9

$$2 ^ { - 1 } [ ( \frac { 5 } { 3 } ) ^ { 4 } + ( \frac { 3 } { 5 } ) ^ { - 2 } ] \div \frac { 17 } { 9 }$$

मूल्यांकन करचें

$$\frac{25}{9}\approx 2.777777778$$

सोडोवणी पांवडे

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

$$\frac{\frac{1}{2}\left(\left(\frac{5}{3}\right)^{4}+\left(\frac{3}{5}\right)^{-2}\right)}{\frac{17}{9}}$$

\frac{625}{81} मेळोवंक 4 चो \frac{5}{3} पॉवर मेजचो.

$$\frac{\frac{1}{2}\left(\frac{625}{81}+\left(\frac{3}{5}\right)^{-2}\right)}{\frac{17}{9}}$$

\frac{25}{9} मेळोवंक -2 चो \frac{3}{5} पॉवर मेजचो.

$$\frac{\frac{1}{2}\left(\frac{625}{81}+\frac{25}{9}\right)}{\frac{17}{9}}$$

\frac{850}{81} मेळोवंक \frac{625}{81} आनी \frac{25}{9} ची बेरीज करची.

$$\frac{\frac{1}{2}\times \frac{850}{81}}{\frac{17}{9}}$$

\frac{425}{81} मेळोवंक \frac{1}{2} आनी \frac{850}{81} गुणचें.

$$\frac{\frac{425}{81}}{\frac{17}{9}}$$

\frac{17}{9} च्या पुरकाक \frac{425}{81} गुणून \frac{17}{9} न \frac{425}{81} क भाग लावचो.

$$\frac{425}{81}\times \frac{9}{17}$$

\frac{25}{9} मेळोवंक \frac{425}{81} आनी \frac{9}{17} गुणचें.

$$\frac{25}{9}$$

गुणकपद

$$\frac{5 ^ {2}}{3 ^ {2}} = 2\frac{7}{9} = 2.7777777777777777$$