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 \( (y z)^{-\frac{1}{2}} \), you can first rewrite the expression using the property of exponents that states \( a^{-n} = \frac{1}{a^n} \). Thus, you transform the original expression to: \[ (y z)^{-\frac{1}{2}} = \frac{1}{(y z)^{\frac{1}{2}}} \] Next, applying the square root property allows you to break it down further. You can express the denominator as: \[ (y z)^{\frac{1}{2}} = \sqrt{y} \cdot \sqrt{z} \] Putting it all together, we find that: \[ (y z)^{-\frac{1}{2}} = \frac{1}{\sqrt{y} \cdot \sqrt{z}} = \frac{1}{\sqrt{yz}} \] So the simplified form is \( \frac{1}{\sqrt{yz}} \).