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 ca
Matematika
olin235
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> (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
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1. Jawaban SadonoSukirno
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