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-❤Claret

Mapel : Matematika
Materi : Operasi Bilangan Pangkat

[tex]=\left[\begin{array}{c}{\frac{a^{\frac{1}{2}}\times b^{-3}}{a^{-1}\times b^{-\frac{3}{2} }} }\end{array}\right]^{\frac{2}{3}}\\ \\ \\=\left[\begin{array}{c}{ \frac{a^{(\frac{1}{2}\times\frac{2}{3})}\times b^{(-3\times\frac{2}{3})}}{a^{(-1\times\frac{2}{3})}\times b^{(-\frac{3}{2}\times\frac{2}{3})}} }\end{array}\right]\\ \\ \\=\left[\begin{array}{c}{ \frac{a^{\frac{1}{3}}\times b^{-2}}{a^{-\frac{2}{3}}\times b^{-1}} }\end{array}\right]\\ \\ \\=a^{\frac{1}{3}}\times a^{\frac{2}{3}}\times b^{-2}\times b^{1}[/tex]

[tex]=a^{(\frac{1}{3}+\frac{2}{3})}\times b^{(-2+1)} \\ \\=a^{(1)}\times b^{(-1)} \\ \\ \bold{\boxed{= \frac{a}{b}.............Jawaban\ (D)}}[/tex]

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