# math

posted by
**John**
.

Suppose z is a complex number such that z^5 = -\sqrt{3} + i and z = \sqrt[5]{2} ( \cos n^{\circ} + i \sin n^{\circ}) , where 270 < n < 360 . Find the exact value of n .

posted by
**John**
.

Suppose z is a complex number such that z^5 = -\sqrt{3} + i and z = \sqrt[5]{2} ( \cos n^{\circ} + i \sin n^{\circ}) , where 270 < n < 360 . Find the exact value of n .