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Answer:

Cube root of \(27x^{18}\) is  \(3x^{6}\)

Step-by-step explanation:

We need to find the cube root of the expression \(27x^{18}\)

Take a cube root over \(27x^{18}\)

\(\sqrt[3]{27x^{18}}\)

\(\sqrt[3]{3^{3}(x^{6})^{3}}\)

simplify the above expression,

\(\sqrt[3]{(3x^{6})^{3}}\)

\(3x^{6}\)

Hence, cube root of \(27x^{18}\) is  \(3x^{6}\)