4)) Simplify. Assume all variables are positive. \( (y z)^{-\frac{1}{2}} \) 4)) Write your answer in the form \( A \) or \( \frac{A}{B^{\prime}} \) where \( A \) and \( B \) are constants or va expressions that have no variables in common. All exponents in your answer

To simplify the expression \( (y z)^{-\frac{1}{2}} \) with the assumption that all variables are positive, follow these steps: 1. **Apply the Negative Exponent Rule:** A negative exponent indicates that the base is on the wrong side of a fraction. Specifically, \( a^{-n} = \frac{1}{a^n} \). \[ (y z)^{-\frac{1}{2}} = \frac{1}{(y z)^{\frac{1}{2}}} \] 2. **Simplify the Exponent:** The exponent \( \frac{1}{2} \) signifies a square root. \[ \frac{1}{(y z)^{\frac{1}{2}}} = \frac{1}{\sqrt{y z}} \] 3. **Final Simplified Form:** The expression is now simplified and written in the desired form \( \frac{A}{B'} \), where \( A = 1 \) and \( B' = \sqrt{y z} \). \[ \frac{1}{\sqrt{y z}} \] **Answer:** \[ \frac{1}{\sqrt{y z}} \]