Simplify: \(\sqrt[5]{243x^{10}y^{5}z^{10}}\)
Solution
\[ \sqrt[5]{243x^{10}y^{5}z^{10}} \]
\[ = (243x^{10}y^{5}z^{10})^{1/5} \]
\[ = 243^{1/5} \cdot x^{10/5} \cdot y^{5/5} \cdot z^{10/5} \]
\[ = 3 \cdot x^2 \cdot y \cdot z^2 \]
Final Answer:
\[ \boxed{3x^2yz^2} \]