सोडोवचें (1+1.5%)^12-1/15%

$$\frac { ( 1 + 1.5 \% ) ^ { 12 } - 1 } { 15 \% }$$

मूल्यांकन करचें

$$1.3041211430769016770752673193359375$$

सोडोवणी पांवडे

10 न्युमरेटर आनी डिनोमिनेटर दोनूय गुणून \frac{1.5}{100} विस्तारीत करचो.

$$\frac{\left(1+\frac{15}{1000}\right)^{12}-1}{\frac{15}{100}}$$

5 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{15}{1000} उणो करचो.

$$\frac{\left(1+\frac{3}{200}\right)^{12}-1}{\frac{15}{100}}$$

\frac{203}{200} मेळोवंक 1 आनी \frac{3}{200} ची बेरीज करची.

$$\frac{\left(\frac{203}{200}\right)^{12}-1}{\frac{15}{100}}$$

\frac{4897252030306448390395044241}{4096000000000000000000000000} मेळोवंक 12 चो \frac{203}{200} पॉवर मेजचो.

$$\frac{\frac{4897252030306448390395044241}{4096000000000000000000000000}-1}{\frac{15}{100}}$$

\frac{801252030306448390395044241}{4096000000000000000000000000} मेळोवंक \frac{4897252030306448390395044241}{4096000000000000000000000000} आनी 1 वजा करचे.

$$\frac{\frac{801252030306448390395044241}{4096000000000000000000000000}}{\frac{15}{100}}$$

5 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{15}{100} उणो करचो.

$$\frac{\frac{801252030306448390395044241}{4096000000000000000000000000}}{\frac{3}{20}}$$

\frac{3}{20} च्या पुरकाक \frac{801252030306448390395044241}{4096000000000000000000000000} गुणून \frac{3}{20} न \frac{801252030306448390395044241}{4096000000000000000000000000} क भाग लावचो.

$$\frac{801252030306448390395044241}{4096000000000000000000000000}\times \frac{20}{3}$$

\frac{267084010102149463465014747}{204800000000000000000000000} मेळोवंक \frac{801252030306448390395044241}{4096000000000000000000000000} आनी \frac{20}{3} गुणचें.

$$\frac{267084010102149463465014747}{204800000000000000000000000}$$

गुणकपद

$$\frac{3 \cdot 13 \cdot 19 \cdot 31 \cdot 73 \cdot 281 \cdot 2137 \cdot 40609 \cdot 22600297 \cdot 17 ^ {2}}{2 ^ {34} \cdot 5 ^ {23}} = 1\frac{6.228401010214945 \times 10^{25}}{2.0479999999999996 \times 10^{26}} = 1.3041211430769017$$