ដោះស្រាយ frac{3^{2}*(6*626*10^-34)^2}{8*9*1*10^-31*(4805*10^-9)}

$$\frac { 3 ^ { 2 } \times ( 6 \cdot 626 \times 10 ^ { - 34 } ) ^ { 2 } } { 8 \times 9 \cdot 1 \times 10 ^ { - 31 } \times ( 4805 \times 10 ^ { - 9 } ) }$$

វាយតម្លៃ

$$\frac{881721}{24025000000000000000000000000000}\approx 3.670014568 \cdot 10^{-26}$$

ជំហានចម្លើយ

ដើម្បីគុណស្វ័យគុណនៃគោលដូចគ្នា ត្រូវបូក​និទស្សន្តរបស់ពួកវា។ បូក -31 និង -9 ដើម្បីទទួលបាន -40។

$$\frac{3^{2}\times \left(6\times 626\times 10^{-34}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

គណនាស្វ័យគុណ 3 នៃ 2 ហើយបាន 9។

$$\frac{9\times \left(6\times 626\times 10^{-34}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

គុណ 6 និង 626 ដើម្បីបាន 3756។

$$\frac{9\times \left(3756\times 10^{-34}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

គណនាស្វ័យគុណ 10 នៃ -34 ហើយបាន \frac{1}{10000000000000000000000000000000000}។

$$\frac{9\times \left(3756\times \frac{1}{10000000000000000000000000000000000}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

គុណ 3756 និង \frac{1}{10000000000000000000000000000000000} ដើម្បីបាន \frac{939}{2500000000000000000000000000000000}។

$$\frac{9\times \left(\frac{939}{2500000000000000000000000000000000}\right)^{2}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

គណនាស្វ័យគុណ \frac{939}{2500000000000000000000000000000000} នៃ 2 ហើយបាន \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000}។

$$\frac{9\times \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

គុណ 9 និង \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000} ដើម្បីបាន \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}។

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{8\times 9\times 1\times 10^{-40}\times 4805}$$

គុណ 8 និង 9 ដើម្បីបាន 72។

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{72\times 1\times 10^{-40}\times 4805}$$

គុណ 72 និង 1 ដើម្បីបាន 72។

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{72\times 10^{-40}\times 4805}$$

គណនាស្វ័យគុណ 10 នៃ -40 ហើយបាន \frac{1}{10000000000000000000000000000000000000000}។

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{72\times \frac{1}{10000000000000000000000000000000000000000}\times 4805}$$

គុណ 72 និង \frac{1}{10000000000000000000000000000000000000000} ដើម្បីបាន \frac{9}{1250000000000000000000000000000000000000}។

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{\frac{9}{1250000000000000000000000000000000000000}\times 4805}$$

គុណ \frac{9}{1250000000000000000000000000000000000000} និង 4805 ដើម្បីបាន \frac{8649}{250000000000000000000000000000000000000}។

$$\frac{\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}}{\frac{8649}{250000000000000000000000000000000000000}}$$

ចែក \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} នឹង \frac{8649}{250000000000000000000000000000000000000} ដោយការគុណ \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} នឹងប្រភាគផ្ទុយគ្នានៃ \frac{8649}{250000000000000000000000000000000000000}.

$$\frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}\times \frac{250000000000000000000000000000000000000}{8649}$$

គុណ \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} និង \frac{250000000000000000000000000000000000000}{8649} ដើម្បីបាន \frac{881721}{24025000000000000000000000000000}។

$$\frac{881721}{24025000000000000000000000000000}$$

ដាក់ជាកត្តា

$$\frac{3 ^ {2} \cdot 313 ^ {2}}{2 ^ {27} \cdot 5 ^ {29} \cdot 31 ^ {2}} = 3.6700145681581686 \times 10^{-26}$$