#### Answer

$\color{blue}{2b^2c^5\sqrt[4]{3a^3c}}$

#### Work Step by Step

Factor the radicand so that at least one factor is a perfect fourth power:
$=\sqrt[4]{16b^8c^{20}(3a^3c)}
\\=\sqrt[4]{2^4(b^2)^4(c^5)^4(3a^3c)}$
Bring out the fourth root of the perfect fourth power factors to obtain:
$=\color{blue}{2b^2c^5\sqrt[4]{3a^3c}}$