Simplify (-2x^-5y^3)/(z^-2)

$\frac{- 2 x^{- 5} y^{3}}{z^{- 2}}$

Move $x^{- 5}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{- 2 y^{3}}{z^{- 2} x^{5}}$

Move $z^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{- 2 y^{3} z^{2}}{x^{5}}$

Move the negative in front of the fraction.

$- \frac{2 y^{3} z^{2}}{x^{5}}$