सोडोवचें [(2-13/5)^2+(5/8-3/4)^4*(7-1/3)^3]+(5-frac{6}{5})

$$[ ( 2 - 1 \frac { 3 } { 5 } ) ^ { 2 } + ( \frac { 5 } { 8 } - \frac { 3 } { 4 } ) ^ { 4 } \times ( 7 - \frac { 1 } { 3 } ) ^ { 3 } ] + ( 5 - \frac { 6 } { 5 } )$$

मूल्यांकन करचें

$$\frac{174197}{43200}\approx 4.032337963$$

सोडोवणी पांवडे

5 मेळोवंक 1 आनी 5 गुणचें.

$$\left(2-\frac{5+3}{5}\right)^{2}+\left(\frac{5}{8}-\frac{3}{4}\right)^{4}\left(7-\frac{1}{3}\right)^{3}+5-\frac{6}{5}$$

8 मेळोवंक 5 आनी 3 ची बेरीज करची.

$$\left(2-\frac{8}{5}\right)^{2}+\left(\frac{5}{8}-\frac{3}{4}\right)^{4}\left(7-\frac{1}{3}\right)^{3}+5-\frac{6}{5}$$

\frac{2}{5} मेळोवंक 2 आनी \frac{8}{5} वजा करचे.

$$\left(\frac{2}{5}\right)^{2}+\left(\frac{5}{8}-\frac{3}{4}\right)^{4}\left(7-\frac{1}{3}\right)^{3}+5-\frac{6}{5}$$

\frac{4}{25} मेळोवंक 2 चो \frac{2}{5} पॉवर मेजचो.

$$\frac{4}{25}+\left(\frac{5}{8}-\frac{3}{4}\right)^{4}\left(7-\frac{1}{3}\right)^{3}+5-\frac{6}{5}$$

-\frac{1}{8} मेळोवंक \frac{5}{8} आनी \frac{3}{4} वजा करचे.

$$\frac{4}{25}+\left(-\frac{1}{8}\right)^{4}\left(7-\frac{1}{3}\right)^{3}+5-\frac{6}{5}$$

\frac{1}{4096} मेळोवंक 4 चो -\frac{1}{8} पॉवर मेजचो.

$$\frac{4}{25}+\frac{1}{4096}\left(7-\frac{1}{3}\right)^{3}+5-\frac{6}{5}$$

\frac{20}{3} मेळोवंक 7 आनी \frac{1}{3} वजा करचे.

$$\frac{4}{25}+\frac{1}{4096}\times \left(\frac{20}{3}\right)^{3}+5-\frac{6}{5}$$

\frac{8000}{27} मेळोवंक 3 चो \frac{20}{3} पॉवर मेजचो.

$$\frac{4}{25}+\frac{1}{4096}\times \frac{8000}{27}+5-\frac{6}{5}$$

\frac{125}{1728} मेळोवंक \frac{1}{4096} आनी \frac{8000}{27} गुणचें.

$$\frac{4}{25}+\frac{125}{1728}+5-\frac{6}{5}$$

\frac{10037}{43200} मेळोवंक \frac{4}{25} आनी \frac{125}{1728} ची बेरीज करची.

$$\frac{10037}{43200}+5-\frac{6}{5}$$

\frac{226037}{43200} मेळोवंक \frac{10037}{43200} आनी 5 ची बेरीज करची.

$$\frac{226037}{43200}-\frac{6}{5}$$

\frac{174197}{43200} मेळोवंक \frac{226037}{43200} आनी \frac{6}{5} वजा करचे.

$$\frac{174197}{43200}$$

गुणकपद

$$\frac{174197}{2 ^ {6} \cdot 3 ^ {3} \cdot 5 ^ {2}} = 4\frac{1397}{43200} = 4.032337962962963$$