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

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

मूल्यांकन करचें

$$-\frac{1}{16}=-0.0625$$

सोडोवणी पांवडे

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

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

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

$$\frac{\left(\frac{4}{9}\left(-\frac{2}{3}\right)^{7}\right)^{2}}{\left(-\left(-\frac{2}{3}\right)^{5}\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

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

$$\frac{\left(\frac{4}{9}\left(-\frac{128}{2187}\right)\right)^{2}}{\left(-\left(-\frac{2}{3}\right)^{5}\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

-\frac{512}{19683} मेळोवंक \frac{4}{9} आनी -\frac{128}{2187} गुणचें.

$$\frac{\left(-\frac{512}{19683}\right)^{2}}{\left(-\left(-\frac{2}{3}\right)^{5}\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

\frac{262144}{387420489} मेळोवंक 2 चो -\frac{512}{19683} पॉवर मेजचो.

$$\frac{\frac{262144}{387420489}}{\left(-\left(-\frac{2}{3}\right)^{5}\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

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

$$\frac{\frac{262144}{387420489}}{\left(-\left(-\frac{32}{243}\right)\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

-\frac{32}{243} च्या विरुध्दार्थी अंक \frac{32}{243} आसा.

$$\frac{\frac{262144}{387420489}}{\left(\frac{32}{243}\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

\frac{32768}{14348907} मेळोवंक 3 चो \frac{32}{243} पॉवर मेजचो.

$$\frac{\frac{262144}{387420489}}{\frac{32768}{14348907}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

\frac{32768}{14348907} च्या पुरकाक \frac{262144}{387420489} गुणून \frac{32768}{14348907} न \frac{262144}{387420489} क भाग लावचो.

$$\frac{262144}{387420489}\times \frac{14348907}{32768}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

\frac{8}{27} मेळोवंक \frac{262144}{387420489} आनी \frac{14348907}{32768} गुणचें.

$$\frac{8}{27}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

-\frac{8}{27} मेळोवंक 3 चो -\frac{2}{3} पॉवर मेजचो.

$$\frac{8}{27}-\frac{8}{27}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

0 मेळोवंक \frac{8}{27} आनी \frac{8}{27} वजा करचे.

$$0-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

\frac{16}{2401} मेळोवंक 4 चो \frac{2}{7} पॉवर मेजचो.

$$0-\frac{16}{2401}\left(-\frac{7}{4}\right)^{4}$$

\frac{2401}{256} मेळोवंक 4 चो -\frac{7}{4} पॉवर मेजचो.

$$0-\frac{16}{2401}\times \frac{2401}{256}$$

\frac{1}{16} मेळोवंक \frac{16}{2401} आनी \frac{2401}{256} गुणचें.

$$0-\frac{1}{16}$$

-\frac{1}{16} मेळोवंक 0 आनी \frac{1}{16} वजा करचे.

$$-\frac{1}{16}$$

गुणकपद

$$-\frac{1}{16} = -0.0625$$