सोडोवचें ((-1/4)^{3}:(-1/4)+(2-1/2)^{4}(1-5/9)^2):[(frac{17}{2})^4:(frac{17}{2})^3+frac{3}{2}*(-1)^2-1+frac{1}{4}]*frac{37}{2}

$$( ( - \frac { 1 } { 4 } ) ^ { 3 } : ( - \frac { 1 } { 4 } ) + ( 2 - \frac { 1 } { 2 } ) ^ { 4 } ( 1 - \frac { 5 } { 9 } ) ^ { 2 } ) : [ ( \frac { 17 } { 2 } ) ^ { 4 } : ( \frac { 17 } { 2 } ) ^ { 3 } + \frac { 3 } { 2 } \cdot ( - 1 ) ^ { 2 } - 1 + \frac { 1 } { 4 } ] \cdot \frac { 37 } { 2 }$$

मूल्यांकन करचें

$$\frac{17}{8}=2.125$$

सोडोवणी पांवडे

समान बेझीच्या पॉवरांक भाग लावंक, गणक निदर्शकांतल्यान भाजक निदर्शक वजा करचो. 2 मेळोवंक 3 तल्यान 1 वजा करचो.

$$\frac{\left(-\frac{1}{4}\right)^{2}+\left(2-\frac{1}{2}\right)^{4}\left(1-\frac{5}{9}\right)^{2}}{\frac{\left(\frac{17}{2}\right)^{4}}{\left(\frac{17}{2}\right)^{3}}+\frac{3}{2}\left(-1\right)^{2}-1+\frac{1}{4}}\times \frac{37}{2}$$

समान बेझीच्या पॉवरांक भाग लावंक, गणक निदर्शकांतल्यान भाजक निदर्शक वजा करचो. 1 मेळोवंक 4 तल्यान 3 वजा करचो.

$$\frac{\left(-\frac{1}{4}\right)^{2}+\left(2-\frac{1}{2}\right)^{4}\left(1-\frac{5}{9}\right)^{2}}{\left(\frac{17}{2}\right)^{1}+\frac{3}{2}\left(-1\right)^{2}-1+\frac{1}{4}}\times \frac{37}{2}$$

\frac{1}{16} मेळोवंक 2 चो -\frac{1}{4} पॉवर मेजचो.

$$\frac{\frac{1}{16}+\left(2-\frac{1}{2}\right)^{4}\left(1-\frac{5}{9}\right)^{2}}{\left(\frac{17}{2}\right)^{1}+\frac{3}{2}\left(-1\right)^{2}-1+\frac{1}{4}}\times \frac{37}{2}$$

\frac{3}{2} मेळोवंक 2 आनी \frac{1}{2} वजा करचे.

$$\frac{\frac{1}{16}+\left(\frac{3}{2}\right)^{4}\left(1-\frac{5}{9}\right)^{2}}{\left(\frac{17}{2}\right)^{1}+\frac{3}{2}\left(-1\right)^{2}-1+\frac{1}{4}}\times \frac{37}{2}$$

\frac{81}{16} मेळोवंक 4 चो \frac{3}{2} पॉवर मेजचो.

$$\frac{\frac{1}{16}+\frac{81}{16}\left(1-\frac{5}{9}\right)^{2}}{\left(\frac{17}{2}\right)^{1}+\frac{3}{2}\left(-1\right)^{2}-1+\frac{1}{4}}\times \frac{37}{2}$$

\frac{4}{9} मेळोवंक 1 आनी \frac{5}{9} वजा करचे.

$$\frac{\frac{1}{16}+\frac{81}{16}\times \left(\frac{4}{9}\right)^{2}}{\left(\frac{17}{2}\right)^{1}+\frac{3}{2}\left(-1\right)^{2}-1+\frac{1}{4}}\times \frac{37}{2}$$

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

$$\frac{\frac{1}{16}+\frac{81}{16}\times \frac{16}{81}}{\left(\frac{17}{2}\right)^{1}+\frac{3}{2}\left(-1\right)^{2}-1+\frac{1}{4}}\times \frac{37}{2}$$

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

$$\frac{\frac{1}{16}+1}{\left(\frac{17}{2}\right)^{1}+\frac{3}{2}\left(-1\right)^{2}-1+\frac{1}{4}}\times \frac{37}{2}$$

\frac{17}{16} मेळोवंक \frac{1}{16} आनी 1 ची बेरीज करची.

$$\frac{\frac{17}{16}}{\left(\frac{17}{2}\right)^{1}+\frac{3}{2}\left(-1\right)^{2}-1+\frac{1}{4}}\times \frac{37}{2}$$

\frac{17}{2} मेळोवंक 1 चो \frac{17}{2} पॉवर मेजचो.

$$\frac{\frac{17}{16}}{\frac{17}{2}+\frac{3}{2}\left(-1\right)^{2}-1+\frac{1}{4}}\times \frac{37}{2}$$

1 मेळोवंक 2 चो -1 पॉवर मेजचो.

$$\frac{\frac{17}{16}}{\frac{17}{2}+\frac{3}{2}\times 1-1+\frac{1}{4}}\times \frac{37}{2}$$

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

$$\frac{\frac{17}{16}}{\frac{17}{2}+\frac{3}{2}-1+\frac{1}{4}}\times \frac{37}{2}$$

10 मेळोवंक \frac{17}{2} आनी \frac{3}{2} ची बेरीज करची.

$$\frac{\frac{17}{16}}{10-1+\frac{1}{4}}\times \frac{37}{2}$$

9 मेळोवंक 10 आनी 1 वजा करचे.

$$\frac{\frac{17}{16}}{9+\frac{1}{4}}\times \frac{37}{2}$$

\frac{37}{4} मेळोवंक 9 आनी \frac{1}{4} ची बेरीज करची.

$$\frac{\frac{17}{16}}{\frac{37}{4}}\times \frac{37}{2}$$

\frac{37}{4} च्या पुरकाक \frac{17}{16} गुणून \frac{37}{4} न \frac{17}{16} क भाग लावचो.

$$\frac{17}{16}\times \frac{4}{37}\times \frac{37}{2}$$

\frac{17}{148} मेळोवंक \frac{17}{16} आनी \frac{4}{37} गुणचें.

$$\frac{17}{148}\times \frac{37}{2}$$

\frac{17}{8} मेळोवंक \frac{17}{148} आनी \frac{37}{2} गुणचें.

$$\frac{17}{8}$$

गुणकपद

$$\frac{17}{2 ^ {3}} = 2\frac{1}{8} = 2.125$$