सोडोवचें ((5/3)^3)^4/(frac{5{2})^14}=

$$\frac { ( ( \frac { 5 } { 3 } ) ^ { 3 } ) ^ { 4 } } { ( \frac { 5 } { 2 } ) ^ { 14 } } =$$

मूल्यांकन करचें

$$\frac{16384}{13286025}\approx 0.001233175$$

सोडोवणी पांवडे

एक पॉवर दुसऱ्या पॉवरान उखलून धरपाक, निदर्शकांक गुणचें. 12 मेळोवंक 3 तल्यान 4 गुणचो.

$$\frac{\left(\frac{5}{3}\right)^{12}}{\left(\frac{5}{2}\right)^{14}}$$

\frac{244140625}{531441} मेळोवंक 12 चो \frac{5}{3} पॉवर मेजचो.

$$\frac{\frac{244140625}{531441}}{\left(\frac{5}{2}\right)^{14}}$$

\frac{6103515625}{16384} मेळोवंक 14 चो \frac{5}{2} पॉवर मेजचो.

$$\frac{\frac{244140625}{531441}}{\frac{6103515625}{16384}}$$

\frac{6103515625}{16384} च्या पुरकाक \frac{244140625}{531441} गुणून \frac{6103515625}{16384} न \frac{244140625}{531441} क भाग लावचो.

$$\frac{244140625}{531441}\times \frac{16384}{6103515625}$$

\frac{16384}{13286025} मेळोवंक \frac{244140625}{531441} आनी \frac{16384}{6103515625} गुणचें.

$$\frac{16384}{13286025}$$

गुणकपद

$$\frac{2 ^ {14}}{3 ^ {12} \cdot 5 ^ {2}} = 0.0012331754606814303$$