Answer
$(\frac{xy^{-2}z}{x^{-1}z})^3 = \frac{x^6}{y^6}$
Work Step by Step
By the formulas given on page eight and nine,
$(\frac{xy^{-2}z}{x^{-1}z})^3 = \frac{(xy^{-2}z)^3}{(x^{-1}z)^3} = \frac{x^3y^{-6}z^3}{x^{-3}z^3} = x^{3-(-3)}y^{-6}z^{3-3} = x^6y^{-6}z^0 = x^6y^{-6} = \frac{x^6}{y^6}$.
