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

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

ປະເມີນ

$$\frac{881721}{24025000000000000000000000000000}\approx 3,670014568 \cdot 10^{-26}$$

ຂັ້ນຕອນການແກ້

ເພື່ອຄູນເລກກຳລັງຂອງຖານດຽວກັນ, ໃຫ້ບວກເລກກຳລັງຂອງພວກມັນ. ບວກ -31 ແລະ -9 ເພື່ອໃຫ້ໄດ້ -40.

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

ຄຳນວນ 3 ກຳລັງ 2 ແລະ ໄດ້ 9.

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

ຄູນ 6 ກັບ 626 ເພື່ອໃຫ້ໄດ້ 3756.

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

ຄຳນວນ 10 ກຳລັງ -34 ແລະ ໄດ້ \frac{1}{10000000000000000000000000000000000}.

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

ຄູນ 3756 ກັບ \frac{1}{10000000000000000000000000000000000} ເພື່ອໃຫ້ໄດ້ \frac{939}{2500000000000000000000000000000000}.

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

ຄຳນວນ \frac{939}{2500000000000000000000000000000000} ກຳລັງ 2 ແລະ ໄດ້ \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000}.

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

ຄູນ 9 ກັບ \frac{881721}{6250000000000000000000000000000000000000000000000000000000000000000} ເພື່ອໃຫ້ໄດ້ \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000}.

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

ຄູນ 8 ກັບ 9 ເພື່ອໃຫ້ໄດ້ 72.

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

ຄູນ 72 ກັບ 1 ເພື່ອໃຫ້ໄດ້ 72.

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

ຄຳນວນ 10 ກຳລັງ -40 ແລະ ໄດ້ \frac{1}{10000000000000000000000000000000000000000}.

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

ຄູນ 72 ກັບ \frac{1}{10000000000000000000000000000000000000000} ເພື່ອໃຫ້ໄດ້ \frac{9}{1250000000000000000000000000000000000000}.

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

ຄູນ \frac{9}{1250000000000000000000000000000000000000} ກັບ 4805 ເພື່ອໃຫ້ໄດ້ \frac{8649}{250000000000000000000000000000000000000}.

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

ຫານ \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} ດ້ວຍ \frac{8649}{250000000000000000000000000000000000000} ໂດຍການຄູນ \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} ໂດຍຕົວເລກທີ່ກັບກັນຂອງ \frac{8649}{250000000000000000000000000000000000000}.

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

ຄູນ \frac{7935489}{6250000000000000000000000000000000000000000000000000000000000000000} ກັບ \frac{250000000000000000000000000000000000000}{8649} ເພື່ອໃຫ້ໄດ້ \frac{881721}{24025000000000000000000000000000}.

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

ຕົວປະກອບ

$$\frac{3 ^ {2} \cdot 313 ^ {2}}{2 ^ {27} \cdot 5 ^ {29} \cdot 31 ^ {2}} = 3,6700145681581686 \times 10^{-26}$$