Matematika

Pertanyaan

bantu jawab 1-5
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2 Jawaban

  • - Eksponen -

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    -vin
    Gambar lampiran jawaban yourvin
  • Jawabannya:

    Mapel. : Matematika
    Bab. : Eksponen

    Pembahasan:

    1.))
    1296/1250 = 2^a × 3^b / 5^c
    16 × 81 / 2 × 625 = 2^a × 3^b / 5^c
    2³ × 3⁴ / 5⁴ = 2^a × 3^b / 5^c
    a = 3
    b = 4
    c = 4

    Jadi :
    a + b + c
    = 3 + 4 + 4
    = 7 + 4
    = 11 →→ Opsi C

    2.))
    a^b^c = 9
    3^4^1/2 = 9
    √3⁴ = 9
    √81 = 9
    9 = 9
    a = 3
    b = 4
    c = 1/2

    Jadi :
    √b^a^c
    = √(4)^3^1/2
    = √4³
    = √64
    = 8 →→ Opsi B

    3.))
    8 × 64 × 512 × 1024 = 2^m
    2³ × 2^6 × 2^9 × 2^10 = 2^m
    2^3+6+9+10 = 2^m
    2^9+19 = 2^m
    2^28 = 2^m
    m = 28

    Jadi :
    m² - 14² = 28² - 14²
    m² - 14² = 784 - 196
    m² - 14² = 588 →→ Opsi B

    4.))
    3^4n+6 × 3^2n-2 / 3^4n+2 : 3n
    = 3^4n+6+2n-2 / 3^4+2-n
    = 3^6n+4 / 3^3n+2
    = 3^6n+4 × 3^-3n-2
    = 3^6n+4-3n-2
    = 3^6n-3n+4-2
    = 3^3n+2 →→ Opsi C

    # Maaf Kalo Salah