Matematika

Pertanyaan

tentukanlah FPB dan KPK berikut
a.24 dan 32
b.72 dan 216
c.45 dan 50
e.80dan 128
d.115 dan 125

2 Jawaban

  • A. 24 = 2^3 × 3
    32 = 2^5
    FPB = 2^3 = 2 × 2 × 2 = 8
    KPK = 2^5 × 3 = 32 × 3 = 96
    B. 72 = 2^3 × 3^2
    216 = 2^3 × 3^3
    FPB = 2^3 × 3^2 = 8 × 9 = 72
    KPK = 2^3 × 3^3 = 8 × 27 = 216
    C. 45 = 3^2 × 5
    50 = 2 × 5^2
    FPB = 5
    KPK = 2 × 3^2 × 5^2 = ( 2 × 9 ) × 25 = 18 × 25 = 450
    E. 80 = 2^4 × 5
    128 = 2^7
    FPB = 2^4 = 2 × 2 × 2 × 2 = 16
    KPK = 2^7 × 5 = 128 × 5 = 640
    D. 115 = 5 × 23
    125 = 5^3
    FPB = 5
    KPK = 5^3 × 23 = 125 × 23 = 2.875
  • A. 24 = 2³ x 3
    32 = 2 pangkat lima.
    FPB = 2³ = 8
    KPK= 2 pangkat lima x 3 = 32.

    b. 72 = 2³ x 3²
    216= 2³ x 3³
    FPB = 2³ x 3² = 72
    KPK = 2³ x 3³ = 216

    C. 45 = 5 x 3²
    50 = 2 x 5²
    FBP = 5
    KPK = 2 x 3² x 5² = 450

    d. 80 = 2³ x 5
    128 = 2 pangkat 7
    FBP = 2³ = 8
    KPK = 2 pangkat 7 x 5 = 128

    E. 115 = 5 x 23
    125 = 5³
    FBP = 5
    KPK = 5³ x 23 = 2.875

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