Scrii numarul sub forma trigonometrica
l zl=√(1²+(-1)²=√2
cos α=1/√2=√2/2
sinα=-1/√2=-√2/2
√2/2 corespunde valorii π/4 dar cosinusul pozitiv sinusul negativ deci
α=2π-π/4=7π/4
z=√2/2*(cos7π/4+isin7π/4)
Aplici formula lui Moivre de ridicare la putere
z^2014=(√2/2)^2014(c0s2014*7π/4+isin7*2014π/4)
lz^2014)l=(√2/2)^2014=2^1007/2^2014=2^(-1007)
