Answer:
[tex]\huge 3w^2\sqrt[4]{2\:w^{3}}[/tex]
Step-by-step explanation:
- [tex]\huge\sqrt[4]{162\:w^{11}}[/tex]
- [tex]=\huge\sqrt[4]{81*2\:w^{8}*w^{3}}[/tex]
- [tex]=\huge\sqrt[4]{3^4*2\:(w^{2})^4*w^{3}}[/tex]
- [tex]=\huge 3w^2\sqrt[4]{2\:w^{3}}[/tex] (Elements with power 4 within the radical will come out and the rest will be within the radical sign)