ANSWER
[tex]y\text{ = }\sqrt[3]{27}[/tex]
EXPLANATION
We want to find the correct method to solve the equation given:
[tex]y^3\text{ = 27}[/tex]
Since y is raised to the power of 3, the correct way to find the value of y is to raise both sides of the equations by a power that will reduce the power of y to 1.
This means we will raise both sides of the equation by 1/3.
That is:
[tex]\begin{gathered} (y^3)^{\frac{1}{3}}=(27)^{\frac{1}{3}} \\ \text{This is the same thing as:} \\ y\text{ = }\sqrt[3]{27} \end{gathered}[/tex]
That is the answer.
