Homework 7

Compute:

• (5+2i)(3-i)
• (5+2i) / (3-i)
• i²⁰¹² (show your work and/or explain how you got your answer)

Prove:

• every complex number has an additive inverse
• every non-zero complex number has a multiplicative inverse

Optional. Compute:

• (i+1)²⁰¹² (show your work and/or explain how you got your answer)
• (i+sqrt(3))²⁰¹² (show your work and/or explain how you got your answer)