Matematika

Pertanyaan

A.5
B.25
C.125
D.625
E.3.125
A.5 B.25 C.125 D.625 E.3.125

2 Jawaban

  • jawabannya adalah E. 3125
  • (1/25)^1/4 . (5)^1/5 . 1/5 . (25)^1/4 . 25 . (625)^1/5
    = (5^-2)^1/4 . 5^1/5 . 5^-1 . 5^2(1/4) . 5^2 . (5^4)^1/5
    = 5^-1/2 . 5^1/5 . 5^-1 . 5^1/2 . 5^2 . 5^4/5
    = 5^-1/2 . 5^1/2 . 5^1/5 . 5^4/5 . 5^-1 . 5^2
    = 5^(-1/2 + 1/2) . 5^(1/5 + 4/5) . 5^(-1 + 2)
    = 5^0 . 5^(5/5) . 5^1
    = 1 . 5 . 5
    = 25