Bentuk sederhana dari (3^(5/6)) x 12^(7/12)) / (6^(2/3)) * 2^(-(1/4))) adalah. . A. 6^(1/4) B. 6^(3/4) C. 6^(3/2) D. (2/3)^(3/4) E. (3/2)^(3/4)

Hallo Fania, kakak bantu jawab ya ... Jadi, jawaban yang benar adalah B. Ingat! a^-m = 1/a^m (ab)^m = a^m.b^m a^m x a^n = a^(m+n) Gunakan sifat tersebut maka: (3^(5/6)) x 12^(7/12)) / (6^(2/3)) x 2^(-(1/4))) = (3^(5/6)) x (6x2)^(7/12)) / (6^(2/3)) x 2^(-(1/4))) = 3^(5/6) x 6^(7/12) x 2^(7/12) x 6^(-2/3) x 2^(1/4) = 3^(5/6) x 6^(7/12-2/3) x 2^(7/12+1/4) = 3^(5/6) x 6^(7/12-8/12) x 2^(7/12+3/12) = 3^(5/6) x 6^(-1/12) x 2^(10/12) =3^(5/6) x (3.2) ^(-1/12) x 2^(10/12) =3^(5/6) x 3^(-1/12) x 2^(-1/12) x 2^(10/12) =3^(5/6-1/12) x 2^(-1/12 + 10/12) =3^(10/12-1/12) x 2^(-1/12 + 10/12) =3^(9/12) x 2^(9/12) =3^(3/4) x 2(3/4) =(3.2)^(3/4) =6^(3/4) Bentuk sederhananya adalah 6^(3/4).