Simplify:

$5z^{16} ÷ 15z^{-11}$

$5z^{16} ÷ 15z^{-11}\\[1em] = \dfrac{5}{15}z^{16-(-11)}\\[1em] = \dfrac{1}{3}z^{16+11}\\[1em] = \dfrac{1}{3}z^{27}$

$5z^{16} ÷ 15z^{-11} = \dfrac{1}{3}z^{27}$