Answer
$\frac{1625z^{10}}{x^{5}}$
Work Step by Step
The given expression is
$=\frac{13x^{-5}y^0}{5^{-3}z^{-10}}$
Use $a^0=1$.
$=\frac{13x^{-5}(1)}{5^{-3}z^{-10}}$
Use $a^{-n}=\frac{1}{a^n}$.
$=\frac{13\cdot5^{3}z^{10}}{x^{5}}$
Use $5^3=125$.
$=\frac{13\cdot125z^{10}}{x^{5}}$
Simplify.
$=\frac{1625z^{10}}{x^{5}}$.