Yes, your calculation is correct. Using DeMoivre's Theorem, you correctly found the magnitude (r) of the complex number (2+2i) as √8, and the angle (Q) as 7π/4. Then you raised the magnitude to the power of 6 and multiplied it with the cosine and sine of the product of the angle and the power. Finally, you expressed the result in standard form as 1024 + 1024i. Well done!