ដោះស្រាយ 5000*((1+609%)^10-1/609%)

$$5000 \times ( \frac { ( 1 + 609 \% ) ^ { 10 } - 1 } { 609 \% } )$$

វាយតម្លៃ

$$\frac{52704179649452190345924889}{200000000000000}\approx 263520898247.26095173$$

ជំហានចម្លើយ

បូក 1 និង \frac{609}{100} ដើម្បីបាន \frac{709}{100}។

$$5000\times \frac{\left(\frac{709}{100}\right)^{10}-1}{\frac{609}{100}}$$

គណនាស្វ័យគុណ \frac{709}{100} នៃ 10 ហើយបាន \frac{32096845506516383920668257401}{100000000000000000000}។

$$5000\times \frac{\frac{32096845506516383920668257401}{100000000000000000000}-1}{\frac{609}{100}}$$

ដក​ 1 ពី \frac{32096845506516383920668257401}{100000000000000000000} ដើម្បីបាន \frac{32096845406516383920668257401}{100000000000000000000}។

$$5000\times \frac{\frac{32096845406516383920668257401}{100000000000000000000}}{\frac{609}{100}}$$

ចែក \frac{32096845406516383920668257401}{100000000000000000000} នឹង \frac{609}{100} ដោយការគុណ \frac{32096845406516383920668257401}{100000000000000000000} នឹងប្រភាគផ្ទុយគ្នានៃ \frac{609}{100}.

$$5000\times \frac{32096845406516383920668257401}{100000000000000000000}\times \frac{100}{609}$$

គុណ \frac{32096845406516383920668257401}{100000000000000000000} និង \frac{100}{609} ដើម្បីបាន \frac{52704179649452190345924889}{1000000000000000000}។

$$5000\times \frac{52704179649452190345924889}{1000000000000000000}$$

គុណ 5000 និង \frac{52704179649452190345924889}{1000000000000000000} ដើម្បីបាន \frac{52704179649452190345924889}{200000000000000}។

$$\frac{52704179649452190345924889}{200000000000000}$$

ដាក់ជាកត្តា

$$\frac{11 \cdot 311 \cdot 401 \cdot 809 \cdot 66688751 \cdot 712109051}{2 ^ {15} \cdot 5 ^ {14}} = 263520898247\frac{52196937859072}{200000000000000} = 263520898247.261$$