Nilai dari (64)⅔ . (125)1/6 per (32)2/5 . (5)1/2 adalah A. 1 B. 2 C. 4 D. 8 E. 16

jika kurang di mengerti silakan ditanyakan.....☺☺

[tex]=\frac{(64)^{\frac{2}{3}} \times(125)^{\frac{1}{6}}}{(32)^{\frac{2}{5}}\times5^ \frac{1}{2}}}\\ \\=\frac{(2^6)^{\frac{2}{3}}\times(5^3)^{\frac{1}{6}}}{(2^5)^{\frac{2}{5}}\times5^ \frac{1}{2}}}\\ \\=\frac{(2^{6\times \frac{2}{3}})\times(5^{3\times \frac{1}{6}})}{(2^{5\times \frac{2}{5}})\times5^ \frac{1}{2}}}\\ \\=\frac{(2^{4})\times (5^{\frac{1}{2}})}{(2^{2}) \times 5^ \frac{1}{2}}}\\ \\=2^{(4-2)}\times 5^{(\frac{1}{2}-\frac{1}{2})}\\ \\=2^2 \times 5^0\\ \\=4\times1 \\ \\=4[/tex]

Jawaban (C)

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