Matematika

Pertanyaan

Jalannya gimana tolong bantu ?
Jalannya gimana tolong bantu ?

1 Jawaban

  • Tanda '^' artinya pangkat
    a = 1/9
    {ingat, a^-1 = 1/a}
    a = 9^-1
    b = 54
    b = 9 × 6
    c = 4

    (a^-4 . b^-1 . c^2) / (a^-6 . b^-3 . c^4)
    = (a^-4 . b^-1 . c^2) × (a^-6 . b^-3 . c^4)^-1
    {ingat, (a^1 . b^2)^3 = (a^3 . b^6)}
    = (a^-4 . b^-1 . c^2) × [(a^-6)^-1 . (b^-3)^-1 . (c^4)^-1]
    {ingat, (a^2)^3 = a^6}
    = (a^-4 . b^-1 . c^2) × (a^6 . b^3 . c^-4)
    = (a^-4 . a^6 . b^-1 . b^3 . c^2 . c^-4)
    {ingat, (a^3 . a^4) = a^3+4 = a^7}
    = (a^-4+6 . b^-1+3 . c^2-4)
    = (a^2 . b^2 . c^-2)
    = [(9^-1)^2 . (9×6)^2 . (4)^-2]
    {ingat, (a.b)^3 = a^3 . b^3}
    = 9^-2 . 9^2 . 6^2 . 4^-2
    = 9^-2+2 . 6^2 . 4^-2
    = 9^0 . 6^2 . 4^-2
    = 1 . 6^2 / 4^2
    = 36 / 16
    = 18 / 8
    = 9 / 4
    = 2¼

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