A2 June 2024 Paper 1 Q2

2 The complex number \(z = \mathrm{e}^{\frac{\mathrm{i}\pi}{3}}\)

Which one of the following is a real number?

Circle your answer. [1 mark]

• \(z^4\)
• \(z^5\)
• \(z^6\)
• \(z^7\)