ដោះស្រាយ 4*6*6710^-11210^30/left(310^3right)^2{left(695510{10^{6}right)}^{2}}left(1-frac{2*6*67{10}^{-11}2{10}^30}{{left(3{10}^8right)}^2*695510{10}^6}right)

$$\frac{ 4 \cdot 6 \cdot 67 { 10 }^{ -11 } 2 { 10 }^{ 30 } }{ { \left(3 { 10 }^{ 3 } \right) }^{ 2 } { \left(695510 { 10 }^{ 6 } \right) }^{ 2 } } \left( 1- \frac{ 2 \cdot 6 \cdot 67 { 10 }^{ -11 } 2 { 10 }^{ 30 } }{ { \left(3 { 10 }^{ 8 } \right) }^{ 2 } \times 695510 { 10 }^{ 6 } } \right)$$

វាយតម្លៃ

$$\frac{69898737044}{9462429722563621875}\approx 7.386975554 \cdot 10^{-9}$$

ជំហានចម្លើយ

ដើម្បីគុណស្វ័យគុណនៃគោលដូចគ្នា ត្រូវបូក​និទស្សន្តរបស់ពួកវា។ បូក -11 និង 30 ដើម្បីទទួលបាន 19។

$$\frac{4\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{3}\right)^{2}\times \left(695510\times 10^{6}\right)^{2}}\left(1-\frac{2\times 6\times 67\times 10^{-11}\times 2\times 10^{30}}{\left(3\times 10^{8}\right)^{2}\times 695510\times 10^{6}}\right)$$

ដើម្បីគុណស្វ័យគុណនៃគោលដូចគ្នា ត្រូវបូក​និទស្សន្តរបស់ពួកវា។ បូក -11 និង 30 ដើម្បីទទួលបាន 19។

$$\frac{4\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{3}\right)^{2}\times \left(695510\times 10^{6}\right)^{2}}\left(1-\frac{2\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}\times 695510\times 10^{6}}\right)$$

គុណ 4 និង 6 ដើម្បីបាន 24។

$$\frac{24\times 67\times 10^{19}\times 2}{\left(3\times 10^{3}\right)^{2}\times \left(695510\times 10^{6}\right)^{2}}\left(1-\frac{2\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}\times 695510\times 10^{6}}\right)$$

គុណ 24 និង 67 ដើម្បីបាន 1608។

$$\frac{1608\times 10^{19}\times 2}{\left(3\times 10^{3}\right)^{2}\times \left(695510\times 10^{6}\right)^{2}}\left(1-\frac{2\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}\times 695510\times 10^{6}}\right)$$

គណនាស្វ័យគុណ 10 នៃ 19 ហើយបាន 10000000000000000000។

$$\frac{1608\times 10000000000000000000\times 2}{\left(3\times 10^{3}\right)^{2}\times \left(695510\times 10^{6}\right)^{2}}\left(1-\frac{2\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}\times 695510\times 10^{6}}\right)$$

គុណ 1608 និង 10000000000000000000 ដើម្បីបាន 16080000000000000000000។

$$\frac{16080000000000000000000\times 2}{\left(3\times 10^{3}\right)^{2}\times \left(695510\times 10^{6}\right)^{2}}\left(1-\frac{2\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}\times 695510\times 10^{6}}\right)$$

គុណ 16080000000000000000000 និង 2 ដើម្បីបាន 32160000000000000000000។

$$\frac{32160000000000000000000}{\left(3\times 10^{3}\right)^{2}\times \left(695510\times 10^{6}\right)^{2}}\left(1-\frac{2\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}\times 695510\times 10^{6}}\right)$$

គណនាស្វ័យគុណ 10 នៃ 3 ហើយបាន 1000។

$$\frac{32160000000000000000000}{\left(3\times 1000\right)^{2}\times \left(695510\times 10^{6}\right)^{2}}\left(1-\frac{2\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}\times 695510\times 10^{6}}\right)$$

គុណ 3 និង 1000 ដើម្បីបាន 3000។

$$\frac{32160000000000000000000}{3000^{2}\times \left(695510\times 10^{6}\right)^{2}}\left(1-\frac{2\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}\times 695510\times 10^{6}}\right)$$

គណនាស្វ័យគុណ 3000 នៃ 2 ហើយបាន 9000000។

$$\frac{32160000000000000000000}{9000000\times \left(695510\times 10^{6}\right)^{2}}\left(1-\frac{2\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}\times 695510\times 10^{6}}\right)$$

គណនាស្វ័យគុណ 10 នៃ 6 ហើយបាន 1000000។

$$\frac{32160000000000000000000}{9000000\times \left(695510\times 1000000\right)^{2}}\left(1-\frac{2\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}\times 695510\times 10^{6}}\right)$$

គុណ 695510 និង 1000000 ដើម្បីបាន 695510000000។

$$\frac{32160000000000000000000}{9000000\times 695510000000^{2}}\left(1-\frac{2\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}\times 695510\times 10^{6}}\right)$$

គណនាស្វ័យគុណ 695510000000 នៃ 2 ហើយបាន 483734160100000000000000។

$$\frac{32160000000000000000000}{9000000\times 483734160100000000000000}\left(1-\frac{2\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}\times 695510\times 10^{6}}\right)$$

គុណ 9000000 និង 483734160100000000000000 ដើម្បីបាន 4353607440900000000000000000000។

$$\frac{32160000000000000000000}{4353607440900000000000000000000}\left(1-\frac{2\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}\times 695510\times 10^{6}}\right)$$

កាត់បន្ថយប្រភាគ \frac{32160000000000000000000}{4353607440900000000000000000000} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 60000000000000000000។

$$\frac{536}{72560124015}\left(1-\frac{2\times 6\times 67\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}\times 695510\times 10^{6}}\right)$$

សម្រួល 2\times 10^{6} ទាំងនៅក្នុងភាគយក និងភាគបែង។

$$\frac{536}{72560124015}\left(1-\frac{2\times 6\times 67\times 10^{13}}{347755\times \left(3\times 10^{8}\right)^{2}}\right)$$

គុណ 2 និង 6 ដើម្បីបាន 12។

$$\frac{536}{72560124015}\left(1-\frac{12\times 67\times 10^{13}}{347755\times \left(3\times 10^{8}\right)^{2}}\right)$$

គុណ 12 និង 67 ដើម្បីបាន 804។

$$\frac{536}{72560124015}\left(1-\frac{804\times 10^{13}}{347755\times \left(3\times 10^{8}\right)^{2}}\right)$$

គណនាស្វ័យគុណ 10 នៃ 13 ហើយបាន 10000000000000។

$$\frac{536}{72560124015}\left(1-\frac{804\times 10000000000000}{347755\times \left(3\times 10^{8}\right)^{2}}\right)$$

គុណ 804 និង 10000000000000 ដើម្បីបាន 8040000000000000។

$$\frac{536}{72560124015}\left(1-\frac{8040000000000000}{347755\times \left(3\times 10^{8}\right)^{2}}\right)$$

គណនាស្វ័យគុណ 10 នៃ 8 ហើយបាន 100000000។

$$\frac{536}{72560124015}\left(1-\frac{8040000000000000}{347755\times \left(3\times 100000000\right)^{2}}\right)$$

គុណ 3 និង 100000000 ដើម្បីបាន 300000000។

$$\frac{536}{72560124015}\left(1-\frac{8040000000000000}{347755\times 300000000^{2}}\right)$$

គណនាស្វ័យគុណ 300000000 នៃ 2 ហើយបាន 90000000000000000។

$$\frac{536}{72560124015}\left(1-\frac{8040000000000000}{347755\times 90000000000000000}\right)$$

គុណ 347755 និង 90000000000000000 ដើម្បីបាន 31297950000000000000000។

$$\frac{536}{72560124015}\left(1-\frac{8040000000000000}{31297950000000000000000}\right)$$

កាត់បន្ថយប្រភាគ \frac{8040000000000000}{31297950000000000000000} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 120000000000000។

$$\frac{536}{72560124015}\left(1-\frac{67}{260816250}\right)$$

ដក​ \frac{67}{260816250} ពី 1 ដើម្បីបាន \frac{260816183}{260816250}។

$$\frac{536}{72560124015}\times \frac{260816183}{260816250}$$

គុណ \frac{536}{72560124015} និង \frac{260816183}{260816250} ដើម្បីបាន \frac{69898737044}{9462429722563621875}។

$$\frac{69898737044}{9462429722563621875}$$

ដាក់ជាកត្តា

$$\frac{2 ^ {2} \cdot 67 \cdot 260816183}{3 ^ {2} \cdot 5 ^ {5} \cdot 157 ^ {3} \cdot 443 ^ {3}} = 7.386975554209198 \times 10^{-9}$$