Complex Number question bank (Mathematics)

If $\omega$ is complex cube root of unity and $(1+\omega)^7=\mathrm{A}+\mathrm{B} \omega$, then values of A and B are, respectively.

If $\mathrm{z}=x+\mathrm{i} y$ and $\mathrm{z}^{1 / 3}=\mathrm{p}+\mathrm{iq}$, where $x, y, \mathrm{p}$, $\mathrm{q} \in \mathrm{R}$ and $\mathrm{i}=\sqrt{-1}$, then value of $\left(\frac{x}{\mathrm{p}}+\frac{y}{\mathrm{q}}\right)$ is