Answer
$[24.3cis(\frac{7\pi}{12})]^2$
= $-511.3793 - 295.2450i$
Work Step by Step
$[24.3cis(\frac{7\pi}{12})]^2$
= $24.3^2 cis(\frac{7\pi}{12}) cis(\frac{7\pi}{12})$
= $24.3^2 cis(\frac{7\pi}{12} + \frac{7\pi}{12})$ (Product Theorem)
= $24.3^2 cis(\frac{7\pi}{6})$
= $-511.3793 - 295.2450i$ (Using calculator and corr. to 4 decimal places)