ແກ້ frac{[(125)^{-2}*8^{-3}]^{-1}}{[25^{3}*16]^{-2}}div[5^-3*3^2-1]^-1/[64*25]^2

$$\frac { [ ( 125 ) ^ { - 2 } \cdot 8 ^ { - 3 } ] ^ { - 1 } } { [ 25 ^ { 3 } \cdot 16 ] ^ { - 2 } } \div \frac { [ 5 ^ { - 3 } \cdot 3 ^ { 2 } - 1 ] ^ { - 1 } } { [ 64 \cdot 25 ] ^ { 2 } }$$

ປະເມີນ

$$-1187840000000000000000000$$

ຂັ້ນຕອນການແກ້

ຫານ \frac{\left(125^{-2}\times 8^{-3}\right)^{-1}}{\left(25^{3}\times 16\right)^{-2}} ດ້ວຍ \frac{\left(5^{-3}\times 3^{2}-1\right)^{-1}}{\left(64\times 25\right)^{2}} ໂດຍການຄູນ \frac{\left(125^{-2}\times 8^{-3}\right)^{-1}}{\left(25^{3}\times 16\right)^{-2}} ໂດຍຕົວເລກທີ່ກັບກັນຂອງ \frac{\left(5^{-3}\times 3^{2}-1\right)^{-1}}{\left(64\times 25\right)^{2}}.

$$\frac{\left(125^{-2}\times 8^{-3}\right)^{-1}\times \left(64\times 25\right)^{2}}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

ຄຳນວນ 125 ກຳລັງ -2 ແລະ ໄດ້ \frac{1}{15625}.

$$\frac{\left(\frac{1}{15625}\times 8^{-3}\right)^{-1}\times \left(64\times 25\right)^{2}}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

ຄຳນວນ 8 ກຳລັງ -3 ແລະ ໄດ້ \frac{1}{512}.

$$\frac{\left(\frac{1}{15625}\times \frac{1}{512}\right)^{-1}\times \left(64\times 25\right)^{2}}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

ຄູນ \frac{1}{15625} ກັບ \frac{1}{512} ເພື່ອໃຫ້ໄດ້ \frac{1}{8000000}.

$$\frac{\left(\frac{1}{8000000}\right)^{-1}\times \left(64\times 25\right)^{2}}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

ຄຳນວນ \frac{1}{8000000} ກຳລັງ -1 ແລະ ໄດ້ 8000000.

$$\frac{8000000\times \left(64\times 25\right)^{2}}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

ຄູນ 64 ກັບ 25 ເພື່ອໃຫ້ໄດ້ 1600.

$$\frac{8000000\times 1600^{2}}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

ຄຳນວນ 1600 ກຳລັງ 2 ແລະ ໄດ້ 2560000.

$$\frac{8000000\times 2560000}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

ຄູນ 8000000 ກັບ 2560000 ເພື່ອໃຫ້ໄດ້ 20480000000000.

$$\frac{20480000000000}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

ຄຳນວນ 25 ກຳລັງ 3 ແລະ ໄດ້ 15625.

$$\frac{20480000000000}{\left(15625\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

ຄູນ 15625 ກັບ 16 ເພື່ອໃຫ້ໄດ້ 250000.

$$\frac{20480000000000}{250000^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

ຄຳນວນ 250000 ກຳລັງ -2 ແລະ ໄດ້ \frac{1}{62500000000}.

$$\frac{20480000000000}{\frac{1}{62500000000}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

ຄຳນວນ 5 ກຳລັງ -3 ແລະ ໄດ້ \frac{1}{125}.

$$\frac{20480000000000}{\frac{1}{62500000000}\left(\frac{1}{125}\times 3^{2}-1\right)^{-1}}$$

ຄຳນວນ 3 ກຳລັງ 2 ແລະ ໄດ້ 9.

$$\frac{20480000000000}{\frac{1}{62500000000}\left(\frac{1}{125}\times 9-1\right)^{-1}}$$

ຄູນ \frac{1}{125} ກັບ 9 ເພື່ອໃຫ້ໄດ້ \frac{9}{125}.

$$\frac{20480000000000}{\frac{1}{62500000000}\left(\frac{9}{125}-1\right)^{-1}}$$

ລົບ 1 ອອກຈາກ \frac{9}{125} ເພື່ອໃຫ້ໄດ້ -\frac{116}{125}.

$$\frac{20480000000000}{\frac{1}{62500000000}\left(-\frac{116}{125}\right)^{-1}}$$

ຄຳນວນ -\frac{116}{125} ກຳລັງ -1 ແລະ ໄດ້ -\frac{125}{116}.

$$\frac{20480000000000}{\frac{1}{62500000000}\left(-\frac{125}{116}\right)}$$

ຄູນ \frac{1}{62500000000} ກັບ -\frac{125}{116} ເພື່ອໃຫ້ໄດ້ -\frac{1}{58000000000}.

$$\frac{20480000000000}{-\frac{1}{58000000000}}$$

ຫານ 20480000000000 ດ້ວຍ -\frac{1}{58000000000} ໂດຍການຄູນ 20480000000000 ໂດຍຕົວເລກທີ່ກັບກັນຂອງ -\frac{1}{58000000000}.

$$20480000000000\left(-58000000000\right)$$

ຄູນ 20480000000000 ກັບ -58000000000 ເພື່ອໃຫ້ໄດ້ -1187840000000000000000000.

$$-1187840000000000000000000$$

ຕົວປະກອບ

$$-1187840000000000000000000$$