Answer
$2x\sqrt[5] {5x}$
Work Step by Step
$\sqrt[5] {160x^{6}}=\sqrt[5] {32\cdot5\cdot x^{5}\cdot x}$
$=\sqrt[5] {32}\cdot \sqrt[5] 5\cdot \sqrt[5] {x^{5}}\cdot \sqrt[5] x$
$=\sqrt[5] {2^{5}}\cdot \sqrt[5] 5\cdot \sqrt[5] {x^{5}}\cdot \sqrt[5] x$
$=2\cdot \sqrt[5] 5\cdot x \cdot \sqrt[5] x$
$=2x\sqrt[5] {5x}$
