bentuk sederhana dari [1/4.a^1/3]^-3/2:2a^-3/2

[tex]\displaystyle \frac{\left(\frac14a^\frac13\right)^{-\frac32}}{2a^{-\frac32}}=\frac{2^{-2\cdot(-\frac32)}a^{\frac13\cdot(-\frac32)}}{2a^{-\frac32}}\\\frac{\left(\frac14a^\frac13\right)^{-\frac32}}{2a^{-\frac32}}=\frac{2^{3}a^{-\frac12}}{2a^{-\frac32}}\\\frac{\left(\frac14a^\frac13\right)^{-\frac32}}{2a^{-\frac32}}=2^{2}a^{-\frac12}\cdot a^{\frac32}\\\boxed{\boxed{\frac{\left(\frac14a^\frac13\right)^{-\frac32}}{2a^{-\frac32}}=4a}}[/tex]

Mapel : Matematika
Kelas : X SMA
Bab : Eksponen dan Logaritma

Pembahasan :
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Hasil akhir = 4a