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

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

मूल्यांकन करचें

$$-\frac{9}{4}=-2.25$$

सोडोवणी पांवडे

समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. -7 मेळोवंक -4 आनी -3 जोडचो.

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

\frac{2187}{128} मेळोवंक -7 चो \frac{2}{3} पॉवर मेजचो.

$$\frac{2187}{128}\left(-\frac{3}{2}\right)^{-5}+8\left(\left(2-\frac{1}{4}\right)\times \frac{1}{7}-\frac{3}{4}\right)+\left(\left(-\frac{3}{2}\right)^{2}\times \left(\frac{1}{3}\right)^{2}\right)^{-1}$$

-\frac{32}{243} मेळोवंक -5 चो -\frac{3}{2} पॉवर मेजचो.

$$\frac{2187}{128}\left(-\frac{32}{243}\right)+8\left(\left(2-\frac{1}{4}\right)\times \frac{1}{7}-\frac{3}{4}\right)+\left(\left(-\frac{3}{2}\right)^{2}\times \left(\frac{1}{3}\right)^{2}\right)^{-1}$$

-\frac{9}{4} मेळोवंक \frac{2187}{128} आनी -\frac{32}{243} गुणचें.

$$-\frac{9}{4}+8\left(\left(2-\frac{1}{4}\right)\times \frac{1}{7}-\frac{3}{4}\right)+\left(\left(-\frac{3}{2}\right)^{2}\times \left(\frac{1}{3}\right)^{2}\right)^{-1}$$

\frac{7}{4} मेळोवंक 2 आनी \frac{1}{4} वजा करचे.

$$-\frac{9}{4}+8\left(\frac{7}{4}\times \frac{1}{7}-\frac{3}{4}\right)+\left(\left(-\frac{3}{2}\right)^{2}\times \left(\frac{1}{3}\right)^{2}\right)^{-1}$$

\frac{1}{4} मेळोवंक \frac{7}{4} आनी \frac{1}{7} गुणचें.

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

-\frac{1}{2} मेळोवंक \frac{1}{4} आनी \frac{3}{4} वजा करचे.

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

-4 मेळोवंक 8 आनी -\frac{1}{2} गुणचें.

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

-\frac{25}{4} मेळोवंक -\frac{9}{4} आनी 4 वजा करचे.

$$-\frac{25}{4}+\left(\left(-\frac{3}{2}\right)^{2}\times \left(\frac{1}{3}\right)^{2}\right)^{-1}$$

\frac{9}{4} मेळोवंक 2 चो -\frac{3}{2} पॉवर मेजचो.

$$-\frac{25}{4}+\left(\frac{9}{4}\times \left(\frac{1}{3}\right)^{2}\right)^{-1}$$

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

$$-\frac{25}{4}+\left(\frac{9}{4}\times \frac{1}{9}\right)^{-1}$$

\frac{1}{4} मेळोवंक \frac{9}{4} आनी \frac{1}{9} गुणचें.

$$-\frac{25}{4}+\left(\frac{1}{4}\right)^{-1}$$

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

$$-\frac{25}{4}+4$$

-\frac{9}{4} मेळोवंक -\frac{25}{4} आनी 4 ची बेरीज करची.

$$-\frac{9}{4}$$

गुणकपद

$$-\frac{9}{4} = -2\frac{1}{4} = -2.25$$