Question 59712
We use ^ to indicate raising to a power x squared is x^2.
:
Simplify and leave with positive exponents: 

{{{(x^(-1)*y^2*z)^(-2)/((x^(-3)*y^3*z)^(-1))}}}
{{{(x^(-1*-2)*y^(2*-2)*z^(-2))/(x^(-3*-1)*y^(3*-1)*z^(-1))}}}  Multiply the exponent on the outside of the parentheses by all the exponents on the inside of the parentheses.
{{{x^2*y^(-4)*z^(-2)/(x^3*y^(-3)*z^(-1))}}}  Move anything with a negative exponent on the other side of the fraction line.
{{{x^2*y^3*z^1/(x^3*y^4*z^2)}}} Now subtract the exponents of like bases.
{{{1/(x^(3-2)*y^(4-3)*z^(2-1))}}}
{{{1/(x^1*y^1*z^1)}}}
{{{highlight(1/(xyz))}}}
Happy Calculating!!!