(5^103 – 5^102 – 5^101) : (5^99 x 26 – 5^99

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(5^103 – 5^102 – 5^101) : (5^99 x 26 – 5^99

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Bella 5 tháng 2021-07-11T08:43:50+00:00 2 Answers 6 views 0

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    0
    2021-07-11T08:45:13+00:00

    (5^103 – 5^102 – 5^101)/(5^99 x 26 – 5^99)

    = [5^101.( 5² -5 -1)]/[5^99.(26-1)]

    = (5^101.19)/(5^99 . 25)

    = (5².19)/25 

    = (5².19)/(5²)

    = 19

     

    0
    2021-07-11T08:45:30+00:00

    Đáp án:

    `19`

    Giải thích các bước giải:

    `(5^{103}-5^{102}-5^{101}):(5^{99}×26-5^{99})`

    `=[5^{101}(5^2-5-1):[(5^{99}(26-1)]`

    `=(5^{101}×19):(5^{99}×25)`

    `=(5^{101}×19):(5^{99}×5^2)`

    `=5^{101}×19:5^101`

    `=19`

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