11. Graphing Complex Numbers

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form.[4(cos 15° + i sin 15°)]³

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form.[2(cos 10° + i sin 10°)]³

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form.[2(cos 80° + i sin 80°)]³

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form.[2(cos 40° + i sin 40°)]³

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form.[1/2 (cos π/12 + i sin π/12)]⁶

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form.[1/2 (cos π/10 + i sin π/10)]⁵

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. _[√2 (cos 5π/6 + i sin 5π/6)]⁴

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. _[√3 (cos 5π/18 + i sin 5π/18)]⁶

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form.(1 + i)⁵

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form.(1 − i)⁵

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. _(√3 − i)⁶

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. _(√2 − i)⁴

In Exercises 65–68, find all the complex roots. Write roots in polar form with θ in degrees.The complex square roots of 9(cos 30° + i sin 30°)

In Exercises 65–68, find all the complex roots. Write roots in polar form with θ in degrees.The complex square roots of 25(cos 210° + i sin 210°)