Matematika

Pertanyaan

tolong ini semua yaa
tolong ini semua yaa

1 Jawaban

  • 1) ( xy³ ) -¹
    ---------------
    ( x-¹ y²)³

    = x-¹ y -³
    -------------
    x-³ y^6

    = x³
    -----------
    x¹ y³ y^6

    = x²
    -------
    y^9

    2) 256^½ × 27^⅓
    = (2^8)^½ × ( 3³)^⅓
    = 2⁴ × 3¹
    = 16 × 3
    = 48

    3) 125 = (5)³
    pangkat negatif = 5-³

    4) ( ⁴√2) ^6
    = ( 2^¼) ^6
    = 2^6/4
    = 2 ^3/2

    5) √32 - 5√8 + 3√2
    = 4√2 - 10√2 + 3√2
    = - 3√2

    6) ( 5 + √8 )( 5 - √8)
    = 25 - 5√8 + 5√8 - 8
    = 17

    7) ( 2-³)-²
    = 2^6

    8) √98 = 7√2

    9) 6
    --------
    √5 - 2

    = 6 × ( √5 + 2)
    ---------------------------
    ( √5 - 2) × ( √5 + 2)

    = 6 ( √5 + 2 )
    ----------------------
    5 - 2√5 + 2√5 - 4

    = 6 ( √5 + 2)
    --------------------
    1

    = 6 ( √5 + 2)

    10) 2√75 + √48
    = 10√3 + 4√3
    = 14√3