Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. [2(cos 60° + i sin 60°)]^4

Answer 1

cos60+isin60)^4 = cos4(60)+isin4(60) = cos240+isin240 = -1/2 -isqr3/2

2^4 = 16

multiply them together

-8 - 8isqr3 = -8 - 13.856i

sqr3 = about 1.732

Answer 2

[2cos 60° + i sin 60°]⁴

2⁴ (cos 240° + i sin 240°)

Can you simplify and answer?