Matematika

Pertanyaan

tentukan nilai bentuk aljabar berikut jika nilai x = 16 dan y = 64a. (2x)¹/5b. 12x -¹/²y¹/³=

1 Jawaban

  • x = 16 = 2^4
    y = 64 = 2^6

    a•
    (2x)^(1/5)
    = (2 . 2^4)^(1/5)
    = (2^5)^(1/5)
    = 2^(5×1/5)
    = 2^1
    = 2

    b•
    12x^(-1/2) y^(1/3)
    = (2^2 × 3)(2^4)^(-1/2) . (2^6)^(1/3)
    = 3 × 2^2 × 2^(4×-1/2) . 2^(6×1/3)
    = 3 × 2^2 × 2^-2 × 2^2
    = 3 × 2^(2-2+2)
    = 3 × 2^2
    = 12

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