Soal umpn tahun 2017 . tolong di jawab [tex]\left (\frac{1}{4} a^{1 : 3}\right )^{-{3} : 2} : 2 \cdot a^{-{3} : 2}[/tex]

^ pangkat
(1/4 a^1/3)^-3/2 : 2.a^-3/2
= (1/4)^-3/2 . a^(1/3×-3/2) : 2.a^-3/2
= 4^2/3 . a^-1/2 : 2.a^-3/2
= (2^2)^2/3 . a^-1/2 : 2.a^-3/2
= 2^4/3 . a^-1/2 : 2.a^-3/2
= 2^(4/3-1) . a^(-1/2-(-3/2))
= 2^(4/3-3/3) . a^(-1/2+3/2)
= 2^1/3 . a^2/2
= (³√2).a
= a(³√2)