SubArea: Powers and roots of complex numbersLevel: AProject ID: 2010004609Source Problem: 2010004608Accepted: 0Clonable: 1Easy: 0Evaluate \( (2+2\mathrm{i})^{100} \) and write the result in algebraic form.\( -2^{150} \)\( -2^{150}\mathrm{i} \)\( 2^{150}\mathrm{i} \)\( 2^{150}\)