सोडोवचें (-2)^4=(-22/3)^2+51/2*(-1/6)-1/4

$$( - 2 ) ^ { 4 } = ( - 2 \frac { 2 } { 3 } ) ^ { 2 } + 5 \frac { 1 } { 2 } \times ( - \frac { 1 } { 6 } ) - \frac { 1 } { 4 }$$

पुनर्तपासणी करची

सोडोवणी पांवडे

समीकरणाच्यो दोनूय बाजू 12 वरवीं गुणाकार करच्यो, 2,6,4 चो सामको सामान्य विभाज्य.

$$12\left(-2\right)^{4}=12\left(-\frac{2\times 3+2}{3}\right)^{2}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

16 मेळोवंक 4 चो -2 पॉवर मेजचो.

$$12\times 16=12\left(-\frac{2\times 3+2}{3}\right)^{2}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

192 मेळोवंक 12 आनी 16 गुणचें.

$$192=12\left(-\frac{2\times 3+2}{3}\right)^{2}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

6 मेळोवंक 2 आनी 3 गुणचें.

$$192=12\left(-\frac{6+2}{3}\right)^{2}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

8 मेळोवंक 6 आनी 2 ची बेरीज करची.

$$192=12\left(-\frac{8}{3}\right)^{2}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

\frac{64}{9} मेळोवंक 2 चो -\frac{8}{3} पॉवर मेजचो.

$$192=12\times \frac{64}{9}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

\frac{256}{3} मेळोवंक 12 आनी \frac{64}{9} गुणचें.

$$192=\frac{256}{3}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

10 मेळोवंक 5 आनी 2 गुणचें.

$$192=\frac{256}{3}+6\left(10+1\right)\left(-\frac{1}{6}\right)-3$$

11 मेळोवंक 10 आनी 1 ची बेरीज करची.

$$192=\frac{256}{3}+6\times 11\left(-\frac{1}{6}\right)-3$$

66 मेळोवंक 6 आनी 11 गुणचें.

$$192=\frac{256}{3}+66\left(-\frac{1}{6}\right)-3$$

-11 मेळोवंक 66 आनी -\frac{1}{6} गुणचें.

$$192=\frac{256}{3}-11-3$$

\frac{223}{3} मेळोवंक \frac{256}{3} आनी 11 वजा करचे.

$$192=\frac{223}{3}-3$$

\frac{214}{3} मेळोवंक \frac{223}{3} आनी 3 वजा करचे.

$$192=\frac{214}{3}$$

192 ताच्या अपुर्णांक \frac{576}{3} रुपांतरीत करचें.

$$\frac{576}{3}=\frac{214}{3}$$

\frac{576}{3} आनी \frac{214}{3} ची तुळा करची.

$$\text{false}$$