Simplify. Assume all variables are positive. \[ u^{\frac{9}{4}} \cdot u^{\frac{1}{4}} \] Write your answer in the form A or \( \frac{A}{B^{\prime}} \) where \( A \) and \( B \) are constants or variable expressions that have no variables in common. All exponents in your answer should be positive. ta

To simplify \( u^{\frac{9}{4}} \cdot u^{\frac{1}{4}} \), you can add the exponents since the bases are the same. \[ u^{\frac{9}{4} + \frac{1}{4}} = u^{\frac{10}{4}} = u^{\frac{5}{2}} \] Thus, the simplified form is \( u^{\frac{5}{2}} \), which can also be written as \( \frac{u^5}{u^2} \) if preferred, keeping in mind the request for all exponents to be positive. So, the final answer is simply \( u^{\frac{5}{2}} \).