Complex numbers

[misty saffron]

Is it true that (a+bi)^0 = 1 in complex numbers?

[pastel sage]

yes

[eager pasture]

ah yes

proof by wolfram says so

[hexed cypress]

@misty saffron the question is slightly tricky to answer. Do you know why $a^0=1$ in the real numbers?

[soft zealot]

SWR

[hexed cypress]

Also, technically no. If $a+bi=0$, then $0^0$ is undefined (but even this is very commonly defined as $1$, which means it will always hold now)