Answer
$3x\sqrt[3] {2x}$
Work Step by Step
Step 1: $\sqrt[3] {54x^{4}}$
Step 2: $\sqrt[3] {54}\times \sqrt[3] {x^{4}}$
Step 3: $\sqrt[3] {27\times 2}\times \sqrt[3] {x^{3}\times x}$
Step 4: $\sqrt[3] {3^{3}}\times \sqrt[3] {2}\times \sqrt[3] {x^{3}}\times \sqrt[3] {x}$
Step 5: $3\times \sqrt[3] {2}\times x\times \sqrt[3] {x}$
Step 6: $3\times x\times\sqrt[3] {2}\times \sqrt[3] {x}$
Step 7: $3x \times \sqrt[3] {2\times x}$
Step 8: $3x\sqrt[3] {2x}$
