Matematika

Pertanyaan

Jika 8ⁿ = 27, maka 2(4ⁿ) - 2(2ⁿ) = ...

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    Matematika SMA Kelas X

    8ⁿ = 27

    2 (4ⁿ) - 2 (2ⁿ)
    = 2 (8^(2/3))ⁿ - 2 (8^(1/3))ⁿ
    = 2 (((8ⁿ)^(2/3)) - ((8ⁿ)^(1/3)))
    = 2 .(27^(2/3) - 27^(1/3))
    = 2 (3² - 3)
    = 2 (9 - 3)
    = 2 . 6
    = 12

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