Answer
$\frac{6z^{11}}{11}$
Work Step by Step
We are given the expression $\frac{(30z^{2})(z^{5})}{55z^{-4}}$. We can first use the product rule to simplify.
$\frac{(30z^{2})(z^{5})}{55z^{-4}}=\frac{30z^{2+5}}{55z^{-4}}=\frac{30z^{7}}{55z^{-4}}$
Next, we can use the quotient to further simplify.
$\frac{30z^{7}}{55z^{-4}}=\frac{30}{55}\times(z^{7-(-4)})=\frac{6z^{11}}{11}$