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Matematika
HasanahRambe
Pertanyaan
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1 Jawaban
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1. Jawaban algebralover
Mapel : Matematika
Materi : Akar Pangkat
[tex]=( \frac{x^{ \frac{1}{4}}.y^{5}}{x^1.y^{ \frac{5}{4}}})^ \frac{4}{5} \\ \\ =(x^{( \frac{1}{4}-1)}.y^{(5- \frac{5}{4})})^ \frac{4}{5}\\ \\ =(x^{(-\frac{3}{4})}.y^{(\frac{20}{4}-\frac{5}{4})})^ \frac{4}{5}\\ \\ =(x^{(-\frac{3}{4})}.y^{\frac{15}{4}})^ \frac{4}{5}\\ \\ =x^{(-\frac{3}{4}\times\frac{4}{5})}.y^{(\frac{15}{4}\times\frac{4}{5})}\\ \\ =x^{(-\frac{3}{5})}.y^{3}\\\\= \frac{y^3}{x^{\frac{3}{5}}} [/tex]
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