सोडोवचें 3^2left(2^-1right)^3{left(frac{1/3right)}^3{left(1/4right)}^-2}{6^-3}

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

मूल्यांकन करचें

$$144$$

सोडोवणी पांवडे

एक पॉवर दुसऱ्या पॉवरान उखलून धरपाक, निदर्शकांक गुणचें. -3 मेळोवंक -1 तल्यान 3 गुणचो.

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

9 मेळोवंक 2 चो 3 पॉवर मेजचो.

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

\frac{1}{8} मेळोवंक -3 चो 2 पॉवर मेजचो.

$$\frac{9\times \frac{1}{8}\times \left(\frac{1}{3}\right)^{3}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

\frac{9}{8} मेळोवंक 9 आनी \frac{1}{8} गुणचें.

$$\frac{\frac{9}{8}\times \left(\frac{1}{3}\right)^{3}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

\frac{1}{27} मेळोवंक 3 चो \frac{1}{3} पॉवर मेजचो.

$$\frac{\frac{9}{8}\times \frac{1}{27}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

\frac{1}{24} मेळोवंक \frac{9}{8} आनी \frac{1}{27} गुणचें.

$$\frac{\frac{1}{24}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

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

$$\frac{\frac{1}{24}\times 16}{6^{-3}}$$

\frac{2}{3} मेळोवंक \frac{1}{24} आनी 16 गुणचें.

$$\frac{\frac{2}{3}}{6^{-3}}$$

\frac{1}{216} मेळोवंक -3 चो 6 पॉवर मेजचो.

$$\frac{\frac{2}{3}}{\frac{1}{216}}$$

\frac{1}{216} च्या पुरकाक \frac{2}{3} गुणून \frac{1}{216} न \frac{2}{3} क भाग लावचो.

$$\frac{2}{3}\times 216$$

144 मेळोवंक \frac{2}{3} आनी 216 गुणचें.

$$144$$

गुणकपद

$$2^{4}\times 3^{2}$$