Matematika

Pertanyaan

tolong jawab pake cara
no. 21,22
tolong jawab pake cara no. 21,22

1 Jawaban

  • jawab

    21.
    (2^(1/2))ˣ⁺³ = (2⁻²)ˣ⁺⁴

    1/2 (x + 3) = - 2(x + 4) ...kalikan 2
    x +3 = -4(x + 4)
    x + 3 = - 4x  - 16
    x  + 4x = -3 - 16
    5x = - 19
    x = - 19/5

    22
    a. 2^(-1). 2^(1/2)  . 4^(1/3) . (1/8)^(1/4). (1/2)^(1/6)=
    = 2^(-1) . 2^(1/2) . 2^(2/3). (2)^(-3/4). (2)^(-1/6)
    = 2^(-1 +1/2 + 2/3 - 3/4 - 1/6)
    = 2^(-3/4)

    b. = (1/25)^(1/3) . 5. 5^(1/2). 5^(-1). (25)^(1/4) . 5^(2). (625)^(1/6)
    = 5^(-2/3) .(5)^1 , 5^(1/2). 5^(-1). 5^(1/2). 5^(2). (5^(5/6)
    = (5)^(-2/3 + 1 + 1/2 - 1 + 1/2 + 2 + 5/6)
    = (5)^(3¹/₆)

    ^(pangkat)