Matematika

Pertanyaan

nyatakan ke dlm bentuk eksponen rasional
[tex] \frac{1}{3} \sqrt[6]{ \frac{1}{243} } = [/tex]
[tex]3 \sqrt[3]{3 ^{ - 2} } = [/tex]

nyatakan ke dlm bentuk eksponen rasional [tex] \frac{1}{3}   \sqrt[6]{ \frac{1}{243} }  = [/tex] [tex]3 \sqrt[3]{3 ^{ - 2} }  = [/tex]

1 Jawaban

  • Soal No. c

    [tex]=3\times \sqrt[3]{3^{-2}} \\ \\ =3^1\times3^{ -\frac{2}{3} } \\ \\ =3^{(1-\frac{2}{3})}\\ \\ =3^{(\frac{3}{3}-\frac{2}{3})}\\ \\ =3^{\frac{1}{3}} \\ \\ = \sqrt[3]{3} [/tex]

    Soal No. d

    [tex]= \frac{1}{3} \sqrt[6]{ \frac{1}{243} } \\ \\=3^{-1}\times \sqrt[6]{ \frac{1}{3^5} }\\ \\=3^{-1}\times \sqrt[6]{ 3^{-5} } \\ \\ =3^{-1}\times 3^{(-\frac{5}{6} )} \\ \\=3^{(-1-\frac{5}{6} )} \\ \\=3^{(-\frac{6}{6}-\frac{5}{6} )} \\ \\=3^{(-\frac{11}{6})} \\ \\= \sqrt[6]{ \frac{1}{3^{11}} } [/tex]

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