다음을 풀어보세요: x^5=10^-3

$$x ^ { 5 } = 10 ^ { - 3 }$$

x에 대한 해 (complex solution)

$$x=\frac{10^{\frac{2}{5}}e^{\frac{2\pi i}{5}}}{10}\approx 0.07762156+0.238894596i$$

$$x=\frac{10^{\frac{2}{5}}}{10}\approx 0.251188643$$

$$x=\frac{10^{\frac{2}{5}}e^{\frac{4\pi i}{5}}}{10}\approx -0.203215881+0.14764498i$$

$$x=\frac{10^{\frac{2}{5}}e^{\frac{6\pi i}{5}}}{10}\approx -0.203215881-0.14764498i$$

$$x=\frac{10^{\frac{2}{5}}e^{\frac{8\pi i}{5}}}{10}\approx 0.07762156-0.238894596i$$

x에 대한 해

$$x=\frac{10^{\frac{2}{5}}}{10}\approx 0.251188643$$