Matematika

Pertanyaan

Nomor 4,pakai langkah kerjanya ya.
Nomor 4,pakai langkah kerjanya ya.

1 Jawaban

  • tanda ^ pangkat
    1/3√3 = 3^-1.3^1/2 = 3^(-1+1/2) = 3^-1/2
    ⁴√27 = 27^1/4 = (3^3)^1/4 = 3^(3×1/4) = 3^3/4
    (1/9)^1/3 = (3^-2)^1/3 = 3^(-2×1/3) = 3^-2/3
    jadi
    3^-1/2 . 3^3/4 . 3^-2/3
    = 3^(-1/2 + 3/4 - 2/3)
    = 3^(-6/12 + 9/12 - 8/12)
    = 3^(-5/12)
    = 1 / 3^(5/12)
    = 1 / ^12√243
    pilihan C