## Intermediate Algebra: Connecting Concepts through Application

$\sqrt {xy^{3}z}$
Step 1: According to the text, the denominator of the exponent becomes the radical’s index. The numerator, on the other hand, remains the exponent of the variable. Step 2: Therefore, $(xy^{3}z)^{\frac{1}{2}}=\sqrt {xy^{3}z}$.