Question

Find the 4 fourth roots of the following complex number. Write each root in standard form. (Enter your answers from smallest to largest value of the argument of the number.)
$ z\,=\,{\color{red}81} \left( \cos\left(\dfrac{{\color{red}4} \pi}{3}\right) \,+\,i\,\sin\left(\dfrac{{\color{red}4} \pi}{3}\right) \right) $