Hello everyone,

I need to perform the following operation: (1+2i)^214. Can I just follow the same guideline as if I didn't have a real part, ie (1+2i)^((53x4)+2) = (1+2i)^2 = -3+4i, or does this little trick only apply when the exponent is attached only to the imaginary part?

If I cannot perform the operation this way, how should I proceed about it?

Many thanks!

Egoyan