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

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

मूल्यांकन करचें

$$-\frac{9}{16}=-0.5625$$

सोडोवणी पांवडे

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

$$\frac{\left(\frac{4}{25}\times \left(\frac{1}{4}\right)^{2}\right)^{2}}{\left(5^{2}\times 2^{2}\right)^{-2}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}$$

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

$$\frac{\left(\frac{4}{25}\times \frac{1}{16}\right)^{2}}{\left(5^{2}\times 2^{2}\right)^{-2}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}$$

\frac{1}{100} मेळोवंक \frac{4}{25} आनी \frac{1}{16} गुणचें.

$$\frac{\left(\frac{1}{100}\right)^{2}}{\left(5^{2}\times 2^{2}\right)^{-2}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}$$

\frac{1}{10000} मेळोवंक 2 चो \frac{1}{100} पॉवर मेजचो.

$$\frac{\frac{1}{10000}}{\left(5^{2}\times 2^{2}\right)^{-2}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}$$

25 मेळोवंक 2 चो 5 पॉवर मेजचो.

$$\frac{\frac{1}{10000}}{\left(25\times 2^{2}\right)^{-2}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}$$

4 मेळोवंक 2 चो 2 पॉवर मेजचो.

$$\frac{\frac{1}{10000}}{\left(25\times 4\right)^{-2}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}$$

100 मेळोवंक 25 आनी 4 गुणचें.

$$\frac{\frac{1}{10000}}{100^{-2}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}$$

\frac{1}{10000} मेळोवंक -2 चो 100 पॉवर मेजचो.

$$\frac{\frac{1}{10000}}{\frac{1}{10000}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}$$

1 मेळोवंक \frac{1}{10000} क \frac{1}{10000} न भाग लावचो.

$$1-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}$$

समान बेझीच्या पॉवरांक भाग लावंक, गणक निदर्शकांतल्यान भाजक निदर्शक वजा करचो.

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

\frac{625}{256} मेळोवंक -4 चो -\frac{4}{5} पॉवर मेजचो.

$$1-\frac{625}{256}\times \left(\frac{4}{5}\right)^{2}$$

\frac{16}{25} मेळोवंक 2 चो \frac{4}{5} पॉवर मेजचो.

$$1-\frac{625}{256}\times \frac{16}{25}$$

\frac{25}{16} मेळोवंक \frac{625}{256} आनी \frac{16}{25} गुणचें.

$$1-\frac{25}{16}$$

-\frac{9}{16} मेळोवंक 1 आनी \frac{25}{16} वजा करचे.

$$-\frac{9}{16}$$

गुणकपद

$$-\frac{9}{16} = -0.5625$$