Question

Помогите с решением

Answer 1

$a=216\\\\\frac{\sqrt{\sqrt[6]{a^5}}}{\sqrt[3]{\frac{1}{64}\cdot \sqrt[4]{a}}}=\frac{(a^{\frac{5}{6}})^{\frac{1}{2}}}{\sqrt[3]{2^{-6}}\cdot \sqrt[12]{a}}=\frac{a^{\frac{5}{12}}}{2^{-2}\cdot a^{\frac{1}{12}}}=\frac{2^2\cdot a^{\frac{5}{12}}}{a^{\frac{1}{12}}}=4\cdot a^{\frac{4}{12}}=4\cdot a^{\frac{1}{3}}=4\sqrt[3]{a}=\\\\=4\cdot \sqrt[3]{216}=4\cdot \sqrt[3]{6^3}=4\cdot 6=24$