Matematika

Pertanyaan

2^-1/2.3^-2/3.6^-1
------------------------
2^-7/2.3^-11/3.6^-3

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1 Jawaban

  • 2^-1/2 × 3^-2/3 × 6^-1
    ________________
    2^-7/2 × 3^-11/3 × 6^-3

    = 2^[-1/2 - (-7/2)] × 3^[-2/3-(-11/3)] × 6^[-1 - (-3)]
    = 2^ (-1/2 + 7/2) × 3^(-2/3 + 11/3) × 6^(-1 + 3)
    = 2^6/2 × 3^9/3 × 6²
    = 2³ × 3³ × 6²
    = 6³ × 6²
    = 6^ (3 + 2)
    = 6^5
    = 7.776

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