Roots of Unity

Q: What are the roots for the case $1^{\frac{1}{3}}$?
A: Since 1 is a real number and therefore complex, we can apply our method of solving for the roots of a complex number.
Rewriting 1 in polar form:
$1=e^{j\theta}$ for $\theta=0, 2\pi, 4\pi$
$1^{\frac{1}{3}}=e^{\frac{j\theta}{3}}$
$1^{\frac{1}{3}}=1,e^{j\frac{2\pi}{3}},e^{j\frac{4\pi}{3}}$