Write in standard form: ((√(2))/(2) + (√(2))/(2)i)^(4)

Question

Write in standard form:
`((√(2))/(2) + (√(2))/(2)i)^(4)`

Answer 1

-1

Explanation:

`=((1)/(√(2))(1+i))^4\\=(1)/(4)(1+i)^2(i+i)^2\\=(1)/(4)(2i)(2i)\\=i^2\\=-1`