ແກ້ 347*10^22div667*10^-11div6*10^24*15*10^11*15*{10}^11

$$347 \times { 10 }^{ 22 } \div 667 \times { 10 }^{ -11 } \div 6 \times { 10 }^{ 24 } \times 15 \times { 10 }^{ 11 } \times 15 \times { 10 }^{ 11 }$$

ປະເມີນ

$$\frac{13012500000000000000000000000000000000000000000000000000000000}{667}\approx 1,95089955 \cdot 10^{58}$$

ຂັ້ນຕອນການແກ້

ເພື່ອຄູນເລກກຳລັງຂອງຖານດຽວກັນ, ໃຫ້ບວກເລກກຳລັງຂອງພວກມັນ. ບວກ 24 ແລະ 11 ເພື່ອໃຫ້ໄດ້ 35.

$$\frac{\frac{347\times 10^{22}}{667}\times 10^{-11}}{6}\times 10^{35}\times 15\times 15\times 10^{11}$$

ເພື່ອຄູນເລກກຳລັງຂອງຖານດຽວກັນ, ໃຫ້ບວກເລກກຳລັງຂອງພວກມັນ. ບວກ 35 ແລະ 11 ເພື່ອໃຫ້ໄດ້ 46.

$$\frac{\frac{347\times 10^{22}}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

ຄຳນວນ 10 ກຳລັງ 22 ແລະ ໄດ້ 10000000000000000000000.

$$\frac{\frac{347\times 10000000000000000000000}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

ຄູນ 347 ກັບ 10000000000000000000000 ເພື່ອໃຫ້ໄດ້ 3470000000000000000000000.

$$\frac{\frac{3470000000000000000000000}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

ຄຳນວນ 10 ກຳລັງ -11 ແລະ ໄດ້ \frac{1}{100000000000}.

$$\frac{\frac{3470000000000000000000000}{667}\times \frac{1}{100000000000}}{6}\times 10^{46}\times 15\times 15$$

ຄູນ \frac{3470000000000000000000000}{667} ກັບ \frac{1}{100000000000} ເພື່ອໃຫ້ໄດ້ \frac{34700000000000}{667}.

$$\frac{\frac{34700000000000}{667}}{6}\times 10^{46}\times 15\times 15$$

ສະແດງ \frac{\frac{34700000000000}{667}}{6} ເປັນໜຶ່ງເສດສ່ວນ.

$$\frac{34700000000000}{667\times 6}\times 10^{46}\times 15\times 15$$

ຄູນ 667 ກັບ 6 ເພື່ອໃຫ້ໄດ້ 4002.

$$\frac{34700000000000}{4002}\times 10^{46}\times 15\times 15$$

ຫຼຸດເສດສ່ວນ \frac{34700000000000}{4002} ເປັນຈຳນວນໜ້ອຍສຸດໂດຍແຍກ ແລະ ຍົກເລີກ 2.

$$\frac{17350000000000}{2001}\times 10^{46}\times 15\times 15$$

ຄຳນວນ 10 ກຳລັງ 46 ແລະ ໄດ້ 10000000000000000000000000000000000000000000000.

$$\frac{17350000000000}{2001}\times 10000000000000000000000000000000000000000000000\times 15\times 15$$

ຄູນ \frac{17350000000000}{2001} ກັບ 10000000000000000000000000000000000000000000000 ເພື່ອໃຫ້ໄດ້ \frac{173500000000000000000000000000000000000000000000000000000000}{2001}.

$$\frac{173500000000000000000000000000000000000000000000000000000000}{2001}\times 15\times 15$$

ຄູນ \frac{173500000000000000000000000000000000000000000000000000000000}{2001} ກັບ 15 ເພື່ອໃຫ້ໄດ້ \frac{867500000000000000000000000000000000000000000000000000000000}{667}.

$$\frac{867500000000000000000000000000000000000000000000000000000000}{667}\times 15$$

ຄູນ \frac{867500000000000000000000000000000000000000000000000000000000}{667} ກັບ 15 ເພື່ອໃຫ້ໄດ້ \frac{13012500000000000000000000000000000000000000000000000000000000}{667}.

$$\frac{13012500000000000000000000000000000000000000000000000000000000}{667}$$

ຕົວປະກອບ

$$\frac{2 ^ {56} \cdot 3 \cdot 5 ^ {59} \cdot 347}{23 \cdot 29} = 1,950899550224888 \times 10^{58}\frac{535}{667} = 1,950899550224888 \times 10^{58}$$