1) Simplify, Assume all variables are positive. \( \left(\frac{s}{s t}\right)^{\frac{3}{4}} \) 1) 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.

To simplify \( \left(\frac{s}{s t}\right)^{\frac{3}{4}} \), we can start by rewriting the fraction inside the parentheses: \[ \frac{s}{s t} = \frac{1}{t} \] Now we can substitute this back into our expression: \[ \left(\frac{1}{t}\right)^{\frac{3}{4}} = \frac{1^{\frac{3}{4}}}{t^{\frac{3}{4}}} = \frac{1}{t^{\frac{3}{4}}} \] So, our final simplified expression is: \[ \frac{1}{t^{\frac{3}{4}}} \] In this form, \( A = 1 \) and \( B = t^{\frac{3}{4}} \), and there are no common variables between them.