128 pngkt 8/7 per 64 pngkt 3/4= tlong d jwb ya pke cra

Mapel : Matematika
Materi : Bilangan Pangkat Pecahan - Akar Pangkat

[tex]= \frac{128^{\frac{8}{7}}}{64^{\frac{3}{4}}} \\ \\= \frac{(2^7)^{\frac{8}{7}}}{(2^6)^{\frac{3}{4}}} \\ \\ = \frac{2^{(7\times{\frac{8}{7}})}}{2^{(6\times{\frac{3}{4}})}} \\ \\ = \frac{2^8}{2^{ \frac{9}{2}}} \\ \\ =2^{(8- \frac{9}{2})} \\ \\ =2^{(\frac{16}{2}-\frac{9}{2})} \\ \\ =2^\frac{7}{2}= 2^{\frac{6}{2}}\times2^{\frac{1}{2}}=2^3\times \sqrt{2}=8\sqrt{2}[/tex]

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