Решете x^1=xquadx^n/x^m=x^n-m

$$x ^ { 1 } = x \quad \frac { x ^ { n } } { x ^ { m } } = x ^ { n - m }$$

Изчисляване (complex solution)

$$x=x^{n-m+1}\text{ and }x^{n-m+1}=x^{n-m}$$

Решаване за x

$$\left\{\begin{matrix}\\x=1\text{, }&\text{unconditionally}\\x=-1\text{, }&Denominator(n-m)\text{bmod}2=1\text{ and }Numerator(1+n-m)\text{bmod}2=1\text{ and }\left(Numerator(n-m)\text{bmod}2=1\text{ or }Numerator(1+n-m)\text{bmod}2=0\right)\text{ and }\left(Numerator(n-m)\text{bmod}2=1\text{ or }Numerator(n-m)\text{bmod}2=0\right)\text{ and }Denominator(n)\text{bmod}2=1\text{ and }Denominator(m)\text{bmod}2=1\end{matrix}\right,$$

Решаване за n

$$n\in \mathrm{R}$$

$$x=1$$