同底数幂的除法法则是
\frac{a^m}{a^n} = a^{m-n}
。也就是说,当底数相同的幂进行除法时,底数不变,指数相减。
(ab)^5 \div (ab)^2 = (ab)^{5-2} = (ab)^3
ab
ab
ab
ab
10^3 \div 10^3 = 10^{3-3} = 10^0 = 1
\frac{a^m}{a^m} = a^{m-m} = a^0 = 1
(对于
a \neq 0
a^5 \div a^8 = a^{5-8} = a^{-3}
(m-n)^8 \div (n-m)^3 = (m-n)^{8-3} = (m-n)^5
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a^{10} \div a^{12} = a^{10-12} = a^{-2}
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a^{11} \div a^{12} = a^{11-12} = a^{-1}
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a^{13} \div a^{14} = a^{13-14} = a^{-1}
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a^{15} \div a^{16} = a^{15-16} = a^{-1}
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a^{17} \div a^{18} = a^{17-18} = a^{-1}
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a^{19} \div a^{20} = a^{19-20} = a^{-1}
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a^{21} \div a^{22} = a^{21-22} = a^{-1}
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a^{22} \div a^{23} = a^{22-23} = a^{-1}
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a^{24} \div a^{25} = a^{24-25} = a^{-1}
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a^{26} \div a^{27} = a^{26-27} = a^{-1}
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a^{27} \div a^{28} = a^{27-28} = a^{-1}
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a^{29} \div a^{30} = a^{29-30} = a^{-1}
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a^{30} \div a^{31} = a^{30-31} = a^{-1}
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a^{31} \div a^{32} = a^{31-32} = a^{-1}
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a^{32} \div a^{33} = a^{32-33} = a^{-1}
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a^{33} \div a^{34} = a^{33-34} = a^{-1}
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a^{35} \div a^{36} = a^{35-36} = a^{-1}
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a^{35} \div a^{36} = a^{35-36} = a^{-1}
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a^{35} \div a^{36} = a^{35-36} = a^{-1}
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a^{37} \div a^{38} = a^{37-38} = a^{-1}
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a^{37} \div a^{38} = a^{37-38} = a^{-1}
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a^{38} \div a^{39} = a^{38-39} = a^{-1}
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a^{40} \div a^{41} = a^{40-41} = a^{-1}
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a^{41} \div a^{42} = a^{41-42} = a^{-1}
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a^{42} \div a^{43} = a^{42-43} = a^{-1}
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a^{42} \div a^{43} = a^{42-43} = a^{-1}
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a^{43} \div a^{44} = a^{43-44} = a^{-1}
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a^{45} \div a^{45} = a^{45-45} = a^0 = 1
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a^{45} \div a^{46} = a^{45-46} = a^{-1}
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a^{45} \div a^{46} = a^{45-46} = a^{-1}
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a^{45} \div a^{46} = a^{45-46} = a^{-1}
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a^{45} \div a^{46} = a^{45-46} = a^{-1}
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a^{45} \div a^{46} = a^{45-46} = a^{-1}
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a^{45} \div a^{46} = a^{45-46} = a^{-1}
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a^{45} \div a^{45} = a^{45-45} = a^0 = 1
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a^{45} \div a^{45} = a^{45-45} = a^0 = 1
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a^{45} \div a^{45} = a^{45-45} = a^0 = 1
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a^{45} \div a^{45} = a^{45-45} = a^0 = 1
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a^{45} \div a^{45} \div a^{46} = a^{45-45-46} = a^{-46}
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