ដោះស្រាយ 316*9*10^9left(1.6*10^-19right)^2/6.64*10^-27{left(5*{10^7right)}^-2}

$$\frac{ 316 \cdot 9 \times { 10 }^{ 9 } { \left(1.6 \times { 10 }^{ -19 } \right) }^{ 2 } }{ 6.64 \times { 10 }^{ -27 } { \left(5 \times { 10 }^{ 7 } \right) }^{ -2 } }$$

វាយតម្លៃ

$$\frac{2275200000000000000}{83}\approx 2.741204819 \cdot 10^{16}$$

ជំហានចម្លើយ

ដើម្បីចែកស្វ័យគុណនៃគោលដូចគ្នា ត្រូវដក​និទស្សន្តរបស់ភាគបែងពីនិទស្សន្តរបស់ភាគយក។

$$\frac{9\times 316\times 10^{36}\times \left(1.6\times 10^{-19}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

គុណ 9 និង 316 ដើម្បីបាន 2844។

$$\frac{2844\times 10^{36}\times \left(1.6\times 10^{-19}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

គណនាស្វ័យគុណ 10 នៃ 36 ហើយបាន 1000000000000000000000000000000000000។

$$\frac{2844\times 1000000000000000000000000000000000000\times \left(1.6\times 10^{-19}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

គុណ 2844 និង 1000000000000000000000000000000000000 ដើម្បីបាន 2844000000000000000000000000000000000000។

$$\frac{2844000000000000000000000000000000000000\times \left(1.6\times 10^{-19}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

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

$$\frac{2844000000000000000000000000000000000000\times \left(1.6\times \frac{1}{10000000000000000000}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

គុណ 1.6 និង \frac{1}{10000000000000000000} ដើម្បីបាន \frac{1}{6250000000000000000}។

$$\frac{2844000000000000000000000000000000000000\times \left(\frac{1}{6250000000000000000}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

គណនាស្វ័យគុណ \frac{1}{6250000000000000000} នៃ 2 ហើយបាន \frac{1}{39062500000000000000000000000000000000}។

$$\frac{2844000000000000000000000000000000000000\times \frac{1}{39062500000000000000000000000000000000}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

គុណ 2844000000000000000000000000000000000000 និង \frac{1}{39062500000000000000000000000000000000} ដើម្បីបាន \frac{45504}{625}។

$$\frac{\frac{45504}{625}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

គណនាស្វ័យគុណ 10 នៃ 7 ហើយបាន 10000000។

$$\frac{\frac{45504}{625}}{6.64\times \left(5\times 10000000\right)^{-2}}$$

គុណ 5 និង 10000000 ដើម្បីបាន 50000000។

$$\frac{\frac{45504}{625}}{6.64\times 50000000^{-2}}$$

គណនាស្វ័យគុណ 50000000 នៃ -2 ហើយបាន \frac{1}{2500000000000000}។

$$\frac{\frac{45504}{625}}{6.64\times \frac{1}{2500000000000000}}$$

គុណ 6.64 និង \frac{1}{2500000000000000} ដើម្បីបាន \frac{83}{31250000000000000}។

$$\frac{\frac{45504}{625}}{\frac{83}{31250000000000000}}$$

ចែក \frac{45504}{625} នឹង \frac{83}{31250000000000000} ដោយការគុណ \frac{45504}{625} នឹងប្រភាគផ្ទុយគ្នានៃ \frac{83}{31250000000000000}.

$$\frac{45504}{625}\times \frac{31250000000000000}{83}$$

គុណ \frac{45504}{625} និង \frac{31250000000000000}{83} ដើម្បីបាន \frac{2275200000000000000}{83}។

$$\frac{2275200000000000000}{83}$$

ដាក់ជាកត្តា

$$\frac{79 \cdot 2 ^ {19} \cdot 3 ^ {2} \cdot 5 ^ {14}}{83} = 27412048192771084\frac{28}{83} = 27412048192771084$$