ដោះស្រាយ 1200/1-(frac{1{106})^20}

$$\frac { 1200 } { 1 - ( \frac { 1 } { 106 } ) ^ { 20 } }$$

វាយតម្លៃ

$$\frac{513141675554055157101278877532471863279616}{427618062961712630917732397943726552733}\approx 1200$$

ជំហានចម្លើយ

គណនាស្វ័យគុណ \frac{1}{106} នៃ 20 ហើយបាន \frac{1}{32071354722128447318829929845779491454976}។

$$\frac{1200}{1-\frac{1}{32071354722128447318829929845779491454976}}$$

បម្លែង 1 ទៅជាប្រភាគ \frac{32071354722128447318829929845779491454976}{32071354722128447318829929845779491454976}។

$$\frac{1200}{\frac{32071354722128447318829929845779491454976}{32071354722128447318829929845779491454976}-\frac{1}{32071354722128447318829929845779491454976}}$$

ដោយសារ \frac{32071354722128447318829929845779491454976}{32071354722128447318829929845779491454976} និង \frac{1}{32071354722128447318829929845779491454976} មានភាគបែងដូចគ្នា សូមដកពួកវាដោយការដកភាគយករបស់ពួកវា។

$$\frac{1200}{\frac{32071354722128447318829929845779491454976-1}{32071354722128447318829929845779491454976}}$$

ដក​ 1 ពី 32071354722128447318829929845779491454976 ដើម្បីបាន 32071354722128447318829929845779491454975។

$$\frac{1200}{\frac{32071354722128447318829929845779491454975}{32071354722128447318829929845779491454976}}$$

ចែក 1200 នឹង \frac{32071354722128447318829929845779491454975}{32071354722128447318829929845779491454976} ដោយការគុណ 1200 នឹងប្រភាគផ្ទុយគ្នានៃ \frac{32071354722128447318829929845779491454975}{32071354722128447318829929845779491454976}.

$$1200\times \frac{32071354722128447318829929845779491454976}{32071354722128447318829929845779491454975}$$

បង្ហាញ 1200\times \frac{32071354722128447318829929845779491454976}{32071354722128447318829929845779491454975} ជាប្រភាគទោល។

$$\frac{1200\times 32071354722128447318829929845779491454976}{32071354722128447318829929845779491454975}$$

គុណ 1200 និង 32071354722128447318829929845779491454976 ដើម្បីបាន 38485625666554136782595915814935389745971200។

$$\frac{38485625666554136782595915814935389745971200}{32071354722128447318829929845779491454975}$$

កាត់បន្ថយប្រភាគ \frac{38485625666554136782595915814935389745971200}{32071354722128447318829929845779491454975} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 75។

$$\frac{513141675554055157101278877532471863279616}{427618062961712630917732397943726552733}$$

ដាក់ជាកត្តា

$$\frac{2 ^ {24} \cdot 53 ^ {20}}{7 \cdot 11 \cdot 17 \cdot 107 \cdot 241 \cdot 571 \cdot 661 \cdot 2251 \cdot 5051 \cdot 44641 \cdot 1957121 \cdot 33788861} = 1199\frac{4.2761806296165705 \times 10^{38}}{4.2761806296171265 \times 10^{38}} = 1199.9999999999998$$