Matematika

Pertanyaan

2 pangkat 5 x 3 pangkat 6 x 4 pangkat 6 =....
(-5)pangkat 6 x 25² per 125 =....
3 pangkat 7 x 7³ x 2 per (42)³ =....
2³ x 3 pangkat 5 x 4² per 12² =....

Mohon jawabannya soalnya ini dikumpulkan besok.... Thanls bagi yg menjawab....

1 Jawaban

  • 2^5 × 3^6 × 4^6
    = 2^5 × 3^6 × (2^2)^6
    = 2^5 × 3^6 × 2^12
    = 2^17 × 3^6

    (-5)^6 × 25^2/125
    = (-5)^6 × (5^2)^2/5^3
    = (-5)^6 × 5^4/5^3
    = 5^(6+4-3)
    = 5^7
    = 78125

    3^7 × 7^3 × 2/(42)^3
    = 3^7 × 7^3 × 2/(2 × 3 × 7)^3
    = 3^7 × 7^3 × 2/(2^3 × 3^3 × 7^3)
    = 3^(7-3) × 7^(3-3) × 2^(1-3)
    = 3^4 × 7^0 × 2^(-2)
    = 3^4 × 1 × 1/2^2
    = (3^4)/(2^2)
    = 81/4
    = 20 1/4

    2^3 × 3^5 × 4^2/12^2
    = 2^3 × 3^5 × (2^2)^2/(2^2 × 3)^2
    = 2^3 × 3^5 × 2^4/(2^4 × 3^2)
    = 2^(3+4-4) × 3^(5-2)
    = 2^3 × 3^3
    = 8 × 27
    = 216

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