Answer
[tex]=x^9(\sqrt[3]{y})[/tex]
Explanation
When an exponent is a fraction, we can write it as a radical as follows:
[tex]x^{\frac{a}{b}}=\sqrt[b]{x^a}[/tex]
Then, based on the latter, our expression can be rewritten as follows:
[tex](x^{27}y)^{\frac{1}{3}}=\sqrt[3]{(x^{27}y)^1}[/tex][tex](x^{27}y)^{\frac{1}{3}}=\sqrt[3]{x^{27}y}[/tex]
Now, we must simplify x, as it has an exponent of 27, meaning:
[tex]=\sqrt[3]{x^{27}}\cdot\sqrt[3]{y}[/tex][tex]=x^9\cdot\sqrt[3]{y}[/tex]
