Matematika

Pertanyaan

nilai n yang memenuhi persamaan {(1/25)^2n+6} ^1/6 = 5^-4

2 Jawaban

  • EksPonenSiaL

    [(1/25)^(2n + 6)]^1/6 = 5^-4
    [5^-2]^(2n + 6)/6 = [5^-2]^2
    (2n + 6)/6 = 2
    2n + 6 = 6 × 2
    2n = 12 - 6
    n = 3
  • {(5^-2)^2n+6}^1/6= 5^-4
    (5^-4n-12)^1/6=5^-4
    -4n-12 x 1/6= -4n-2
    -4n-2=-4
    -4n = -4+2
    -4n= -2
    n = 1/2

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