Question

Efetue: $(\sqrt[3]{\sqrt{5ab} } )^2.\sqrt[3]{25a^2b^2}$

Answer 1

$(\sqrt[3]{ \sqrt{5ab} }) {}^{2} . \sqrt[3]{25a {}^{2}b {}^{2} }$
resolvendo

$(\sqrt[6]{5ab} ) {}^{2} \times \sqrt[3]{25a {}^{2}b {}^{2} } \\ \sqrt[3]{5ab} \times \sqrt[3]{25a {}^{2}b {}^{2} } \\ \sqrt[3]{5ab \times 25a {}^{2}b {}^{2} } \\ \sqrt[3]{125a {}^{3}b {}^{3} } \\ = 5ab$