ປະເມີນ
-\frac{9}{16}=-0,5625
ຕົວປະກອບ
-\frac{9}{16} = -0,5625
ແບ່ງປັນ
ສໍາເນົາຄລິບ
\frac{\left(\frac{4}{25}\times \left(\frac{1}{4}\right)^{2}\right)^{2}}{\left(5^{2}\times 2^{2}\right)^{-2}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}
ຄຳນວນ -\frac{2}{5} ກຳລັງ 2 ແລະ ໄດ້ \frac{4}{25}.
\frac{\left(\frac{4}{25}\times \frac{1}{16}\right)^{2}}{\left(5^{2}\times 2^{2}\right)^{-2}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}
ຄຳນວນ \frac{1}{4} ກຳລັງ 2 ແລະ ໄດ້ \frac{1}{16}.
\frac{\left(\frac{1}{100}\right)^{2}}{\left(5^{2}\times 2^{2}\right)^{-2}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}
ຄູນ \frac{4}{25} ກັບ \frac{1}{16} ເພື່ອໃຫ້ໄດ້ \frac{1}{100}.
\frac{\frac{1}{10000}}{\left(5^{2}\times 2^{2}\right)^{-2}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}
ຄຳນວນ \frac{1}{100} ກຳລັງ 2 ແລະ ໄດ້ \frac{1}{10000}.
\frac{\frac{1}{10000}}{\left(25\times 2^{2}\right)^{-2}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}
ຄຳນວນ 5 ກຳລັງ 2 ແລະ ໄດ້ 25.
\frac{\frac{1}{10000}}{\left(25\times 4\right)^{-2}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}
ຄຳນວນ 2 ກຳລັງ 2 ແລະ ໄດ້ 4.
\frac{\frac{1}{10000}}{100^{-2}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}
ຄູນ 25 ກັບ 4 ເພື່ອໃຫ້ໄດ້ 100.
\frac{\frac{1}{10000}}{\frac{1}{10000}}-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}
ຄຳນວນ 100 ກຳລັງ -2 ແລະ ໄດ້ \frac{1}{10000}.
1-\frac{\left(\frac{4}{5}\right)^{-5}\left(-\frac{4}{5}\right)^{-4}}{\left(\frac{4}{5}\right)^{-7}}
ຫານ \frac{1}{10000} ດ້ວຍ \frac{1}{10000} ເພື່ອໄດ້ 1.
1-\left(-\frac{4}{5}\right)^{-4}\times \left(\frac{4}{5}\right)^{2}
ເພື່ອຫານເລກກຳລັງຂອງຖານດຽວກັນ, ໃຫ້ລົບເລກກຳລັງຂອງຕົວຫານອອກຈາກເລກກຳລັງຂອງຕົວເສດອອກ.
1-\frac{625}{256}\times \left(\frac{4}{5}\right)^{2}
ຄຳນວນ -\frac{4}{5} ກຳລັງ -4 ແລະ ໄດ້ \frac{625}{256}.
1-\frac{625}{256}\times \frac{16}{25}
ຄຳນວນ \frac{4}{5} ກຳລັງ 2 ແລະ ໄດ້ \frac{16}{25}.
1-\frac{25}{16}
ຄູນ \frac{625}{256} ກັບ \frac{16}{25} ເພື່ອໃຫ້ໄດ້ \frac{25}{16}.
-\frac{9}{16}
ລົບ \frac{25}{16} ອອກຈາກ 1 ເພື່ອໃຫ້ໄດ້ -\frac{9}{16}.
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