Giải hộ em với ạ, câu a

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Giải hộ em với ạ, câu a
giai-ho-em-voi-a-cau-a

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Latifah 5 years 2021-05-22T04:36:45+00:00 2 Answers 22 views 0

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    0
    2021-05-22T04:37:53+00:00

    Đây ạ
    giai-ho-em-voi-a-cau-a

    0
    2021-05-22T04:38:35+00:00

    Giải thích các bước giải:

    a.Ta có:

    $A=\dfrac{12^5-4^3\cdot 6^4}{2^{11}\cdot 3^4+24^4}-\dfrac{25^4\cdot 7^3-5^8\cdot 49^2}{5^7\cdot 7^3+35^3\cdot 75^2}$

    $\to A=\dfrac{(3\cdot 2^2)^5-(2^2)^3\cdot (2\cdot 3)^4}{2^{11}\cdot 3^4+(2^3\cdot 3)^4}-\dfrac{(5^2)^4\cdot 7^3-5^8\cdot (7^2)^2}{5^7\cdot 7^3+(7\cdot 5)^3\cdot (3\cdot 5^2)^2}$

    $\to A=\dfrac{3^5\cdot 2^{10}-2^6\cdot 2^4\cdot 3^4}{2^{11}\cdot 3^4+2^{12}\cdot 3^4}-\dfrac{5^8\cdot 7^3-5^8\cdot 7^4}{5^7\cdot 7^3+7^3\cdot 5^3\cdot 3^2\cdot 5^4}$

    $\to A=\dfrac{3^5\cdot 2^{10}-2^{10}\cdot 3^4}{2^{11}\cdot 3^4+2^{12}\cdot 3^4}-\dfrac{5^8\cdot 7^3-5^8\cdot 7^4}{5^7\cdot 7^3+7^3\cdot 3^2\cdot 5^7}$

    $\to A=\dfrac{3^4\cdot 2^{10}(3-1)}{2^{11}\cdot 3^4(1+2)}-\dfrac{5^8\cdot 7^3(1-7)}{5^7\cdot 7^3(1+3^2)}$

    $\to A=\dfrac{3^4\cdot 2^{10}\cdot 2}{2^{11}\cdot 3^4\cdot 3}-\dfrac{5^8\cdot 7^3\cdot (-6)}{5^7\cdot 7^3\cdot 10}$

    $\to A=\dfrac{1}{3}-\dfrac{5\cdot (-6)}{10}$

    $\to A=\dfrac{1}{3}-\dfrac{-30}{10}$

    $\to A=\dfrac{1}{3}+3$

    $\to A=\dfrac{10}{3}$

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