ដោះស្រាយ frac{9*10^{9}*(16*10^{-19})^2}{667*10^11*91*10^-31*166*10^-27}

$$\frac { 9 \times 10 ^ { 9 } \times ( 16 \times 10 ^ { - 19 } ) ^ { 2 } } { 667 \times 10 ^ { 11 } \times 91 \times 10 ^ { - 31 } \times 166 \times 10 ^ { - 27 } }$$

វាយតម្លៃ

$$\frac{1152000000000000000000}{5037851}\approx 2.286689305 \cdot 10^{14}$$

ជំហានចម្លើយ

ដើម្បីគុណស្វ័យគុណនៃគោលដូចគ្នា ត្រូវបូក​និទស្សន្តរបស់ពួកវា។ បូក 11 និង -31 ដើម្បីទទួលបាន -20។

$$\frac{9\times 10^{9}\times \left(16\times 10^{-19}\right)^{2}}{667\times 10^{-20}\times 91\times 166\times 10^{-27}}$$

ដើម្បីគុណស្វ័យគុណនៃគោលដូចគ្នា ត្រូវបូក​និទស្សន្តរបស់ពួកវា។ បូក -20 និង -27 ដើម្បីទទួលបាន -47។

$$\frac{9\times 10^{9}\times \left(16\times 10^{-19}\right)^{2}}{667\times 10^{-47}\times 91\times 166}$$

ដើម្បីចែកស្វ័យគុណនៃគោលដូចគ្នា ត្រូវដក​និទស្សន្តរបស់ភាគបែងពីនិទស្សន្តរបស់ភាគយក។

$$\frac{9\times 10^{56}\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}$$

គណនាស្វ័យគុណ 10 នៃ 56 ហើយបាន 100000000000000000000000000000000000000000000000000000000។

$$\frac{9\times 100000000000000000000000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}$$

គុណ 9 និង 100000000000000000000000000000000000000000000000000000000 ដើម្បីបាន 900000000000000000000000000000000000000000000000000000000។

$$\frac{900000000000000000000000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}$$

គណនាស្វ័យគុណ 10 នៃ -19 ហើយបាន \frac{1}{10000000000000000000}។

$$\frac{900000000000000000000000000000000000000000000000000000000\times \left(16\times \frac{1}{10000000000000000000}\right)^{2}}{91\times 166\times 667}$$

គុណ 16 និង \frac{1}{10000000000000000000} ដើម្បីបាន \frac{1}{625000000000000000}។

$$\frac{900000000000000000000000000000000000000000000000000000000\times \left(\frac{1}{625000000000000000}\right)^{2}}{91\times 166\times 667}$$

គណនាស្វ័យគុណ \frac{1}{625000000000000000} នៃ 2 ហើយបាន \frac{1}{390625000000000000000000000000000000}។

$$\frac{900000000000000000000000000000000000000000000000000000000\times \frac{1}{390625000000000000000000000000000000}}{91\times 166\times 667}$$

គុណ 900000000000000000000000000000000000000000000000000000000 និង \frac{1}{390625000000000000000000000000000000} ដើម្បីបាន 2304000000000000000000។

$$\frac{2304000000000000000000}{91\times 166\times 667}$$

គុណ 91 និង 166 ដើម្បីបាន 15106។

$$\frac{2304000000000000000000}{15106\times 667}$$

គុណ 15106 និង 667 ដើម្បីបាន 10075702។

$$\frac{2304000000000000000000}{10075702}$$

កាត់បន្ថយប្រភាគ \frac{2304000000000000000000}{10075702} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 2។

$$\frac{1152000000000000000000}{5037851}$$

ដាក់ជាកត្តា

$$\frac{2 ^ {25} \cdot 3 ^ {2} \cdot 5 ^ {18}}{7 \cdot 13 \cdot 23 \cdot 29 \cdot 83} = 228668930462611\frac{4711039}{5037851} = 228668930462611.94$$