Câu 1: Rút gọn a, -98/142 b, -21212121/41414141 c, 5 mũ 5 . 2 mũ 7 / 5 mũ 4 . 2 mũ 9 d, -2.3 mũ 2 . 5 mũ 3 / 2 mũ 2 . 3 mũ 3. 5 mũ 4
2 câu trả lời
Đáp án + Giải thích các bước giải:
`-98/142 = (-98 : 2)/(142 : 2) = -49/71`
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`-21212121/41414141 = (-21212121 : 1010101)/(41414141 : 1010101) = -21/41`
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`(5^5. 2^7)/(5^4. 2^9) = (5^4. 5. 2^7)/(5^4. 2^7. 2^2) = 5/(2^2) = 5/4`
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`(-2. 3^2. 5^3)/(2^2. 3^3. 5^4) = (-2. 3^2. 5^3)/(2. 2. 3^2. 3. 5^3. 5) = (-1)/(2. 3. 5) = (-1)/30`
$ a) \dfrac{-98}{142} = \dfrac{-98:2}{142:2}=\dfrac{-49}{71} $
$ b) \dfrac{-21212121}{41414141}=\dfrac{-21212121:1010101}{41414141:1010101}=\dfrac{-21}{41} $
$ c) \dfrac{ 5^5 . 2^7}{5^4.2^9}=\dfrac{5}{2^2}=\dfrac{5}{4} $
$ d) \dfrac{-2.3^2.5^3}{2^2.3^3.5^4}=\dfrac{-1}{2.3.5}=\dfrac{-1}{30} $