The problem asks how to rewrite $\sqrt[3]{y^{12}}$ using the Inverse Property of Radicals. Here's the breakdown:

The cube root $\sqrt[3]{y^{12}}$ can be simplified using the properties of exponents and radicals. Specifically:

[ \sqrt[3]{y^{12}} = \sqrt[3]{(y^3)^4}. ]

This is because $y^{12} = (y^3)^4$, and this matches the structure in the first answer.

Thus, the correct option is:

$\sqrt[3]{(y^3)^4}.$

Do you have any other questions or want detailed explanations on these steps?

Here are 5 related questions to expand your understanding:

1. How can the properties of exponents simplify radical expressions in general?
2. What is the Inverse Property of Radicals, and how does it apply to higher roots?
3. How would you simplify $\sqrt[4]{y^{16}}$?
4. How do cube roots compare to square roots in terms of simplifying powers?
5. Can you express $y^{12/3}$ using both radical and exponential notation?

Tip: Always rewrite powers inside radicals in terms of their prime factors to simplify expressions effectively.