सोडोवचें (+2/3)^{-2}*(-2/3)^4+[(+1/2)^2]^3:2^-4

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

मूल्यांकन करचें

$$\frac{25}{36}\approx 0.694444444$$

सोडोवणी पांवडे

एक पॉवर दुसऱ्या पॉवरान उखलून धरपाक, निदर्शकांक गुणचें. 6 मेळोवंक 2 तल्यान 3 गुणचो.

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

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

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

\frac{16}{81} मेळोवंक 4 चो -\frac{2}{3} पॉवर मेजचो.

$$\frac{9}{4}\times \frac{16}{81}+\frac{\left(\frac{1}{2}\right)^{6}}{2^{-4}}$$

\frac{4}{9} मेळोवंक \frac{9}{4} आनी \frac{16}{81} गुणचें.

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

\frac{1}{64} मेळोवंक 6 चो \frac{1}{2} पॉवर मेजचो.

$$\frac{4}{9}+\frac{\frac{1}{64}}{2^{-4}}$$

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

$$\frac{4}{9}+\frac{\frac{1}{64}}{\frac{1}{16}}$$

\frac{1}{16} च्या पुरकाक \frac{1}{64} गुणून \frac{1}{16} न \frac{1}{64} क भाग लावचो.

$$\frac{4}{9}+\frac{1}{64}\times 16$$

\frac{1}{4} मेळोवंक \frac{1}{64} आनी 16 गुणचें.

$$\frac{4}{9}+\frac{1}{4}$$

\frac{25}{36} मेळोवंक \frac{4}{9} आनी \frac{1}{4} ची बेरीज करची.

$$\frac{25}{36}$$

गुणकपद

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3 ^ {2}} = 0.6944444444444444$$