Matematika

Pertanyaan

Tolong sederhanakan
2⁴.9pangkat -2.5pangkat-3
--------------------–––––·–––––per
8.3pangkat–5.125pangkat -1

1 Jawaban

  • 2^4 . 9^(-2) . 5^(-3)
    ---------------------------- =
    8 . 3^(-5) . 125^(-1)

    2^4 . (3^2)^(-2) . 5^(-3)
    ---------------------------------- =
    2^3 . 3^(-5) . (5^3)^(-1)

    2^4 . 3^(2×(-2)) . 5^(-3)
    ------------------------------------ =
    2^3 . 3^(-5) . 5^(3×(-1))

    2^4 . 3^(-4) . 5^(-3)
    ------------------------------
    2^3 . 3^(-5) . 5^(-3)

    = 2^(4-3) . 3^(-4-(-5)) . 5^(-3-(-3))
    = 2^(4-3) . 3^(-4+5) . 5^(-3+3)
    = 2^1 . 3^1 . 5^0
    = 2 . 3 . 1
    = 6


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