rút gọn các phân số sau:a,-24/32;35/-50;-11/-121;25/100 b,3mũ 10

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1. Đáp án:

   Giải thích các bước giải:

    `a) \frac{-24}{32}=\frac{-3}{4}`

        `\frac{35}{-50}=\frac{7}{-10}`

        `\frac{-11}{-121}=\frac{1}{11}`

        `\frac{25}{100}=\frac{1}{4}`

   `b) \frac{3^{10}.(-5)^{21}}{(-5)^{20}.3^{12}}`

   `=\frac{3^{10}.(-5)^{20}.(-5)}{(-5)^{20}.3^{10}.3^2}`

   `=\frac{-5}{3^2}=\frac{-5}{9}`

   `c) \frac{2^{3}.3^{4}}{2^{3}.3^{2}.5}`

   `=\frac{2^{3}.3^{2}.3^2}{2^{3}.3^{2}.5}`

   `=\frac{3^2}{5}=\frac{9}{5}`

       `\frac{2^{4}.5^{2}.11^{2}.7}{2^{3}.5^{3}.7^{2}.11}`

   `=\frac{2^{3}.2.5^{2}.11.11.7}{2^{3}.5^{2}.5.7.7.11}`

   `=\frac{2.11}{5.7}=\frac{22}{35}`

   `d) \frac{-11^{5}.13^7}{11^{5}.13^8}`

   `=\frac{-11^{5}.13^7}{11^{5}.13^{7}.13}`

   `=\frac{-1}{13}`

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2. a)$\dfrac{-24}{32}=\dfrac{-3}{4}$

      $\dfrac{35}{-50}=\dfrac{-35}{50}=\dfrac{-7}{10}$

      $\dfrac{-11}{-121}=\dfrac{11}{121}=\dfrac{1}{11}$

      $\dfrac{25}{100}=\dfrac{1}{4}$

   b)$\dfrac{3^{10}.(-5)^{21}}{(-5)^{20}.3^{12}}=\dfrac{3^{10}.(-5)}{3^{10}.3^{2}}=\dfrac{-5}{9}$ 

   c)$\dfrac{2^{3}.3^{4}}{2^{3}.3^{2}.5}=\dfrac{3^{2}}{5}=\dfrac{9}{5}$ 

      $\dfrac{2^{4}.5^{2}.11^{2}.7}{2^{3}.5^{3}.7^{2}.11}=\dfrac{2.11}{5.7}=\dfrac{22}{35}$

   d)$\dfrac{(-11)^{5}.13^{7}}{11^{5}.13^{8}}=\dfrac{-1}{13}$ 

   CHÚC BẠN HOK TỐT!!!

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