Simplify fifth root of cube root of 8c^2

$\sqrt[5]{\sqrt[3]{8 c^{2}}}$

Rewrite $8$ as $2^{3}$ .

$\sqrt[5]{\sqrt[3]{2^{3} c^{2}}}$

Pull terms out from under the radical.

$\sqrt[5]{2 \sqrt[3]{c^{2}}}$

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