Matematika

Pertanyaan

sederhanakan operasi bilangan berpangkat berikut!
1> (a^2/3)^2
2> (4^5/3 a^2/3)^6/5
3> (a^1/2 X a^-2/3 : b^1/6)^-6
4> (x^1/4)^-8 X (x^2/3)^3/4 X (x^3/5)^-5/4
catatan :
x = variabel
X = kali

1 Jawaban

  • 1) (a^2/3)^2
    = a^(2/3×2)
    = a^4/3
    2) (4^5/3 . a^2/3)^6/5
    = 4^(5/3×6/5) . a^(2/3×6/5)
    = 4^2 . a^4/5
    3) (a^½ × a^-2/3 : b^1/6)^-6
    = (a^(½-2/3) : b^1/6)^-6
    = (a^-1/6 : b^1/6)^-6
    = a^(-1/6×6) : b^(1/6×6)
    = a^-1 : b^1
    = 1 / ab
    4) (x^-¼)^-8 × (x^2/3)^3/4 × (x^3/5)^-5/4
    = x^(-¼×-8) × x^(2/3×3/4) × x^(3/5×-5/4)
    = x^2 × x^½ × x^-3/4
    = x^(2+½-3/4)
    = x^3/4

Pertanyaan Lainnya