[(8x^(5)y^(−4))/(16y−1/4)]^(1/2)

Jawabnya adalah x^(5/2) / [2^(1/2) y^(15/8)] Ingat (a/b)^m = a^m / b^m (a^m)^n = a^(mn) a^m : a^n = a^(m-n) a^(-m) = 1/(a^m) Asumsikan soal sederhana kan bentuk perpangkatan berikut [(8x^(5)y^(−4))/(16y^(−1/4))]^(1/2) [(8x^(5)y^(−4))/(16y^(−1/4))]^(1/2) = (2³x^(5)y^(−4))^(1/2)/(2⁴y^(−1/4))^(1/2) =(2^(3/2)x^(5/2)y^(−2))/(2^(2)y^(−1/8)) = 2^(3/2 -2) x^(5/2) y^(-2-(-1/8)) = 2^(-1/2) x^(5/2) y^(-15/8) = x^(5/2) / [2^(1/2) y^(15/8)] Jadi Jawabnya adalah x^(5/2) / [2^(1/2) y^(15/8)]