Simplify this complex number Thank you i75 Simplify this com

Simplify this complex number.

Thank you!

Solution

i⁷⁵ = i^{(74 + 1)} =( i⁷⁴ )( i ) = ( i²)³⁷ ( i ) = ( -1)³⁷ ( i ) = (-1) ( i ) = - i.