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Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. \[ \left[6\left(\cos 20^{\circ}+i \sin 20^{\circ}\right)\right]^{3} \]
Find the product in the complex plane. \[ \left[6\left(\cos \left(\frac{5 \pi}{6}\right)+i \sin \left(\frac{5 \pi}{6}\right)\right)\right]\left[\frac{1}{6}\left(\cos \left(\frac{\pi}{6}\right)+i \sin \left(\frac{\pi}{6}\right)\right)\right] \]
Find the sum of the complex numbers in the complex plane. \[ (3+4 i)+(5+7 i) \]