Answer:
Option D, [tex]4x^5\sqrt[3]{3x}[/tex]
Step-by-step explanation:
Step 1: Simplify the roots
[tex]\sqrt[3]{16x^7}*\sqrt[3]{12x^9}[/tex]
[tex]\sqrt[3]{2^3*2*x^3*x^3*x}*\sqrt[3]{12*x^3*x^3*x^3}[/tex]
[tex]2x^2\sqrt[3]{2x} *x^3\sqrt[3]{12}[/tex]
[tex]2x^5\sqrt[3]{24x}[/tex]
[tex]2x^5\sqrt[3]{2^3*3*x}[/tex]
[tex]4x^5\sqrt[3]{3x}[/tex]
Answer: Option D, [tex]4x^5\sqrt[3]{3x}[/tex]
