Matematika

Pertanyaan

Sederhanakanlah operasi bilangan berpangkat berikut 2 pangkat 5 dikali 3 pangkat 5 dikali 4 pangkat 2 per 12 pangkat 5

1 Jawaban

  • 2^5 × 3^5 × 4^2/12^5
    = 2^5 × 3^5 × (2^2)^2/((2^2)^5 × 3^5)
    = 2^5 × 3^5 × 2^4/(2^10 × 3^5)
    = 2^5 × 2^4 × 3^5/(2^10 × 3^5)
    = 2^9 × 3^5/(2^10 × 3^5)
    = 2^(9-10) × 3^(5-5)
    = 2^(-1) × 3^0
    = 1/2 × 1
    = 1/2

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