ແກ້ (1/238*6022*10^23)*200

$$( \frac{ 1 }{ 238 } \times 6022 \times { 10 }^{ 23 } ) \times 200$$

ປະເມີນ

$$\frac{60220000000000000000000000000}{119}\approx 5,060504202 \cdot 10^{26}$$

ຂັ້ນຕອນການແກ້

ຄູນ \frac{1}{238} ກັບ 6022 ເພື່ອໃຫ້ໄດ້ \frac{6022}{238}.

$$\frac{6022}{238}\times 10^{23}\times 200$$

ຫຼຸດເສດສ່ວນ \frac{6022}{238} ເປັນຈຳນວນໜ້ອຍສຸດໂດຍແຍກ ແລະ ຍົກເລີກ 2.

$$\frac{3011}{119}\times 10^{23}\times 200$$

ຄຳນວນ 10 ກຳລັງ 23 ແລະ ໄດ້ 100000000000000000000000.

$$\frac{3011}{119}\times 100000000000000000000000\times 200$$

ສະແດງ \frac{3011}{119}\times 100000000000000000000000 ເປັນໜຶ່ງເສດສ່ວນ.

$$\frac{3011\times 100000000000000000000000}{119}\times 200$$

ຄູນ 3011 ກັບ 100000000000000000000000 ເພື່ອໃຫ້ໄດ້ 301100000000000000000000000.

$$\frac{301100000000000000000000000}{119}\times 200$$

ສະແດງ \frac{301100000000000000000000000}{119}\times 200 ເປັນໜຶ່ງເສດສ່ວນ.

$$\frac{301100000000000000000000000\times 200}{119}$$

ຄູນ 301100000000000000000000000 ກັບ 200 ເພື່ອໃຫ້ໄດ້ 60220000000000000000000000000.

$$\frac{60220000000000000000000000000}{119}$$

ຕົວປະກອບ

$$\frac{2 ^ {26} \cdot 5 ^ {25} \cdot 3011}{7 \cdot 17} = 5,060504201680673 \times 10^{26}\frac{62}{119} = 5,060504201680673 \times 10^{26}$$