Question

Упростите ответ :
1)
$\sqrt[7]{\frac{a4}{8c^5} } : \sqrt[7]{\frac{16c2}{a^3} }$

Answer 1

$\displaystyle \sqrt[7]{\frac{a^4}{8c^5} } \div \sqrt[7]{\frac{16c^2}{a^3} }=\sqrt[7]{\frac{a^4}{8c^5} } \times \sqrt[7]{\frac{a^3}{16c^2} }=\sqrt[7]{\frac{a^4\times a^3}{8c^5\times 16c^2}}=\sqrt[7]{\frac{a^7}{128c^7}}=\frac{a}{2c}$