nyatakan hasil operasi berikut dalam bentuk yang paling sederhana​

Jawaban:Tentukan hasil operasi berikut dalam bentuk yang paling sederhana! a. ((a^(1/3) b^(-3/4)) / (a^(1/2) b^2))^(-5/6) b. ((a^(2/5)) / (b^(1/3)))^(-2) * (a^(1/2) b^(-1/4))^3 : (b^(-1/3) / a^(1/4)) Solusi: a. 1. Sederhanakan bagian dalam kurung:- a^(1/3) / a^(1/2) = a^(1/3 - 1/2) = a^(2/6 - 3/6) = a^(-1/6)- b^(-3/4) / b^2 = b^(-3/4 - 2) = b^(-3/4 - 8/4) = b^(-11/4)- Jadi, (a^(-1/6) b^(-11/4))^(-5/6)2. Gunakan sifat (a^m b^n)^p = a^(m*p) b^(n*p):- a^(-1/6 * -5/6) = a^(5/36)- b^(-11/4 * -5/6) = b^(55/24)3. Hasil akhir:- a^(5/36) b^(55/24) b. 1. Sederhanakan ((a^(2/5)) / (b^(1/3)))^(-2):- a^(2/5 * -2) = a^(-4/5)- b^(1/3 * -2) = b^(-2/3)- Jadi, (a^(-4/5) / b^(-2/3)) = a^(-4/5) b^(2/3)@Ara14122. Sederhanakan (a^(1/2) b^(-1/4))^3:- a^(1/2 * 3) = a^(3/2)- b^(-1/4 * 3) = b^(-3/4)- Jadi, a^(3/2) b^(-3/4)3. Sederhanakan pembagian (b^(-1/3) / a^(1/4)):- b^(-1/3) / a^(1/4) = a^(-1/4) b^(-1/3)4. Gabungkan semua:- (a^(-4/5) b^(2/3)) * (a^(3/2) b^(-3/4)) : (a^(-1/4) b^(-1/3))- = a^(-4/5 + 3/2) b^(2/3 - 3/4) : (a^(-1/4) b^(-1/3))- = a^(7/10) b^(-1/12) : (a^(-1/4) b^(-1/3))- = a^(7/10 + 1/4) b^(-1/12 + 1/3)- = a^(19/20) b^(1/4) Jadi, a. a^(5/36) b^(55/24) b. a^(19/20) b^(1/4)

Answered by ara1412 | 2025-08-12