Answer:
The cube root of given expression is \(6x^3y^6\).
Step-by-step explanation:
The given expression is
\(\sqrt[3]{216x^9y^{18}}\)
It can be written as
Use the exponent property: \(a^{mn}=(a^m)^n\)
\(\sqrt[3]{216x^9y^{18}}=\sqrt[3]{6^3(x^3)^3(y^6)^{3}}\)
\(\sqrt[3]{216x^9y^{18}}=\sqrt[3]{(6x^3y^6)^{3}}\)
\(\sqrt[3]{216x^9y^{18}}=6x^3y^6\)
Therefore the cube root of given expression is \(6x^3y^6\).
