Answer:
\(3x^5y^2\)
Step-by-step explanation:
Given : \(\sqrt[4]{81x^{20}y^{8}}\)
To Find: What is a simpler form of the radical expression?
Solution:
\(\sqrt[4]{81x^{20}y^{8}}\) --A
81 can be written as \(3^4\)
\(x^{20}=(x^5)^4\)
\(y^{8}=(y^2)^4\)
Substitute the values in A
\(\sqrt[4]{3^4 (x^5)^4 (y^2)^4}\)
\(3x^5y^2\)
Thus Option C is correct.
\(3x^5y^2\) is a simpler form of the radical expression
