सोडोवचें {l}{sqrt{3^-2}*2^-4}{-6+(8-3)-[4+(6-3)*5-8]+3-{9-(6-4)}}

$$\left. \begin{array} { l } { \sqrt { 3 ^ { - 2 } } \cdot 2 ^ { - 4 } } \\ { - 6 + ( 8 - 3 ) - [ 4 + ( 6 - 3 ) * 5 - 8 ] + 3 - \{ 9 - ( 6 - 4 ) \} } \end{array} \right.$$

मूल्यांकन करचें

$$-\frac{767}{48}\approx -15.979166667$$

सोडोवणी पांवडे

\frac{1}{9} मेळोवंक -2 चो 3 पॉवर मेजचो.

$$\sqrt{\frac{1}{9}}\times 2^{-4}-6+8-3-\left(4+\left(6-3\right)\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

\frac{\sqrt{1}}{\sqrt{9}} च्या वर्ग मूळाचो भागाकार म्हूण \frac{1}{9} च्या वर्गमूळाचो भागाकार परत बरोवचो. न्युमरेटर आनी डिनोमिनेटर अशे दोगांचेय वर्ग मूळ घेवचे.

$$\frac{1}{3}\times 2^{-4}-6+8-3-\left(4+\left(6-3\right)\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

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

$$\frac{1}{3}\times \frac{1}{16}-6+8-3-\left(4+\left(6-3\right)\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

\frac{1}{48} मेळोवंक \frac{1}{3} आनी \frac{1}{16} गुणचें.

$$\frac{1}{48}-6+8-3-\left(4+\left(6-3\right)\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

-\frac{287}{48} मेळोवंक \frac{1}{48} आनी 6 वजा करचे.

$$-\frac{287}{48}+8-3-\left(4+\left(6-3\right)\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

\frac{97}{48} मेळोवंक -\frac{287}{48} आनी 8 ची बेरीज करची.

$$\frac{97}{48}-3-\left(4+\left(6-3\right)\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

-\frac{47}{48} मेळोवंक \frac{97}{48} आनी 3 वजा करचे.

$$-\frac{47}{48}-\left(4+\left(6-3\right)\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

3 मेळोवंक 6 आनी 3 वजा करचे.

$$-\frac{47}{48}-\left(4+3\times 5-8\right)+3-\left(9-\left(6-4\right)\right)$$

15 मेळोवंक 3 आनी 5 गुणचें.

$$-\frac{47}{48}-\left(4+15-8\right)+3-\left(9-\left(6-4\right)\right)$$

19 मेळोवंक 4 आनी 15 ची बेरीज करची.

$$-\frac{47}{48}-\left(19-8\right)+3-\left(9-\left(6-4\right)\right)$$

11 मेळोवंक 19 आनी 8 वजा करचे.

$$-\frac{47}{48}-11+3-\left(9-\left(6-4\right)\right)$$

-\frac{575}{48} मेळोवंक -\frac{47}{48} आनी 11 वजा करचे.

$$-\frac{575}{48}+3-\left(9-\left(6-4\right)\right)$$

-\frac{431}{48} मेळोवंक -\frac{575}{48} आनी 3 ची बेरीज करची.

$$-\frac{431}{48}-\left(9-\left(6-4\right)\right)$$

2 मेळोवंक 6 आनी 4 वजा करचे.

$$-\frac{431}{48}-\left(9-2\right)$$

7 मेळोवंक 9 आनी 2 वजा करचे.

$$-\frac{431}{48}-7$$

-\frac{767}{48} मेळोवंक -\frac{431}{48} आनी 7 वजा करचे.

$$-\frac{767}{48}$$

गुणकपद

$$-\frac{767}{48} = -15\frac{47}{48} = -15.979166666666666$$