To simplify the expression \( u^{75} y^{30} \), we will look for ways to express it in a more simplified form, though it seems already simplified.
Given the responses you provided, here are some evaluations:
- Response 1: \( u y^{45} \) → This does not match since the powers of \( u \) and \( y \) are incorrect.
- Response 2: \( u^{45} \) → This is incorrect since it does not account for the given powers.
- Response 3: \( u^{75} y^{30} \) → This is just a restatement of the original expression.
Since none of the responses accurately simplify or provide alternative forms of \( u^{75} y^{30} \), the expression remains \( u^{75} y^{30} \).
If you just want to restate it in a different notation without changing its value, you may express it as:
- \( u^{75} \cdot y^{30} \)
However, \( u^{75} y^{30} \) itself is already in its simplest form. If you need a specific simplification or reformatting, please clarify!