Matematika

Pertanyaan

2. Sederhanakan bentuk aljabar berikut!
a. a4b2/a3
b. 16p4/24q×3q/12p3
c. (2t)4×t3
d. m2×m5/m4

mohon dijawab!

1 Jawaban

  • a) a⁴b²
    -----------

    = (a³)(ab²)
    ----------------
    (a³)
    = ab²

    b) (16p⁴ / 24q ) × ( 3q / 12p³ )
    = (16p⁴)(3q)
    -----------------
    ( 24q) ( 12p³)
    = (4p³)(4p) × (3q)
    -------------------------
    (4p³)(3) × (3q)(8)
    = (4p)
    -----------
    (3)(8)
    = 4p
    --------
    24
    = ( 4 )( p )
    ---------------
    ( 4 ) ( 6 )
    = p
    ------
    6

    c) (2t)⁴ × t³
    = 16t⁴ × t³
    = 16t^7

    d) m² × m^5 / m⁴
    = (m² × m^5)
    -------------------
    m⁴
    = m^7
    ----------
    m⁴
    = ( m⁴ ) (m³)
    ----------------
    m⁴
    = m³

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