Bentuj sederhana dari (1/4.a^1/3)^-3/2 : 2a^-3/2 adalah

[tex]\displaystyle \frac{\left(\frac14a^{\frac13}\right)^{-\frac32}}{2a^{-\frac32}}=\frac{\left(2^{-2}a^{\frac13}\right)^{-\frac32}}{2a^{-\frac32}}\\\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}}=2^{3-1}a^{-\frac12+\frac32}\\\frac{\left(\frac14a^{\frac13}\right)^{-\frac32}}{2a^{-\frac32}}=2^{2}a^{1}[/tex]
[tex]\displaystyle \boxed{\boxed{\frac{\left(\frac14a^{\frac13}\right)^{-\frac32}}{2a^{-\frac32}}=4a}}[/tex]

Matematika IX SMP
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