Matematika

Pertanyaan

Buktikanlah!

23^9 x 16^4 x 3^9 x 4^4 dibagi 23^4 x 69^2 x 46^2 x 4^6 x 6^6 x 12^3 =23/36

1 Jawaban

  • .......23^9×16^4×3^9×4^4
    ------------------------------------------------------
    23^4×69^2×46^2×4^6×6^6×12^3

    = (23^9×2^16×3^9×2^8)/(23^4×23^2×3^2×23^2×2^2×2^12×3^6×2^6×3^3×2^6)
    = (23^9×2^24×3^9)/(23^8×2^26×3^11)
    = 23^1×2^-2×3^-2
    = 23/(2^2×3^2)
    = 23/(4×9)
    = 23/36

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