ແກ້ 316*9*10^9left(16*10^-19right)^2/664*10^-27{left(5*{10^7right)}^-2}

$$\frac{ 316 \cdot 9 \times { 10 }^{ 9 } { \left(16 \times { 10 }^{ -19 } \right) }^{ 2 } }{ 664 \times { 10 }^{ -27 } { \left(5 \times { 10 }^{ 7 } \right) }^{ -2 } }$$

ປະເມີນ

$$\frac{2275200000000000000}{83}\approx 2,741204819 \cdot 10^{16}$$

ຂັ້ນຕອນການແກ້

ຍົກເລີກ 4 ທັງໃນຕົວເສດ ແລະ ຕົວຫານ.

$$\frac{9\times 79\times 10^{9}\times \left(16\times 10^{-19}\right)^{2}}{166\times 10^{-27}\times \left(5\times 10^{7}\right)^{-2}}$$

ເພື່ອຫານເລກກຳລັງຂອງຖານດຽວກັນ, ໃຫ້ລົບເລກກຳລັງຂອງຕົວຫານອອກຈາກເລກກຳລັງຂອງຕົວເສດອອກ.

$$\frac{9\times 79\times 10^{36}\times \left(16\times 10^{-19}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

ຄູນ 9 ກັບ 79 ເພື່ອໃຫ້ໄດ້ 711.

$$\frac{711\times 10^{36}\times \left(16\times 10^{-19}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

ຄຳນວນ 10 ກຳລັງ 36 ແລະ ໄດ້ 1000000000000000000000000000000000000.

$$\frac{711\times 1000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

ຄູນ 711 ກັບ 1000000000000000000000000000000000000 ເພື່ອໃຫ້ໄດ້ 711000000000000000000000000000000000000.

$$\frac{711000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

ຄຳນວນ 10 ກຳລັງ -19 ແລະ ໄດ້ \frac{1}{10000000000000000000}.

$$\frac{711000000000000000000000000000000000000\times \left(16\times \frac{1}{10000000000000000000}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

ຄູນ 16 ກັບ \frac{1}{10000000000000000000} ເພື່ອໃຫ້ໄດ້ \frac{1}{625000000000000000}.

$$\frac{711000000000000000000000000000000000000\times \left(\frac{1}{625000000000000000}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

ຄຳນວນ \frac{1}{625000000000000000} ກຳລັງ 2 ແລະ ໄດ້ \frac{1}{390625000000000000000000000000000000}.

$$\frac{711000000000000000000000000000000000000\times \frac{1}{390625000000000000000000000000000000}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

ຄູນ 711000000000000000000000000000000000000 ກັບ \frac{1}{390625000000000000000000000000000000} ເພື່ອໃຫ້ໄດ້ \frac{45504}{25}.

$$\frac{\frac{45504}{25}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

ຄຳນວນ 10 ກຳລັງ 7 ແລະ ໄດ້ 10000000.

$$\frac{\frac{45504}{25}}{166\times \left(5\times 10000000\right)^{-2}}$$

ຄູນ 5 ກັບ 10000000 ເພື່ອໃຫ້ໄດ້ 50000000.

$$\frac{\frac{45504}{25}}{166\times 50000000^{-2}}$$

ຄຳນວນ 50000000 ກຳລັງ -2 ແລະ ໄດ້ \frac{1}{2500000000000000}.

$$\frac{\frac{45504}{25}}{166\times \frac{1}{2500000000000000}}$$

ຄູນ 166 ກັບ \frac{1}{2500000000000000} ເພື່ອໃຫ້ໄດ້ \frac{83}{1250000000000000}.

$$\frac{\frac{45504}{25}}{\frac{83}{1250000000000000}}$$

ຫານ \frac{45504}{25} ດ້ວຍ \frac{83}{1250000000000000} ໂດຍການຄູນ \frac{45504}{25} ໂດຍຕົວເລກທີ່ກັບກັນຂອງ \frac{83}{1250000000000000}.

$$\frac{45504}{25}\times \frac{1250000000000000}{83}$$

ຄູນ \frac{45504}{25} ກັບ \frac{1250000000000000}{83} ເພື່ອໃຫ້ໄດ້ \frac{2275200000000000000}{83}.

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

ຕົວປະກອບ

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