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Автор - vladimirmakarov2401

Запишите в виде степени с рациональным показателем. Задание на фото заранее спасибо.

Ответ

Автор - 25hjoerf10

Ответ:

a^{frac{5}{3}

Пошаговое объяснение:

frac{sqrt{a^{7} }*sqrt[3]{a^{2}  } }{asqrt[4]{a^{6} } } =frac{a^{frac{7}{2} } *a^{frac{2}{3} } }{a*a^{frac{6}{4} } } =frac{a^{frac{7}{2} } *a^{frac{2}{3} } }{a^{frac{3}{3} } *a^{frac{3}{2} } } =a^{frac{7}{2}-frac{3}{2}  } *a^{frac{2}{3} -frac{3}{3} } =\\=a^{frac{4}{2} } *a^{-frac{1}{3} } =a^{frac{12}{6} } *a^{-frac{2}{6} } =a^{frac{12}{6}-frac{2}{6} } =a^{frac{10}{6} }=a^{frac{5}{3}

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