פתור את {l}{{(z^2)}^n=z^10}{o=n}{p=o}{q=p}{r=q}{text{Solvefor}stext{where}}{s=r}

$$\left. \begin{array} { l } { {(z ^ {2})} ^ {n} = z ^ {10} }\\ { o = n }\\ { p = o }\\ { q = p }\\ { r = q }\\ { \text{Solve for } s \text{ where} } \\ { s = r } \end{array} \right.$$

פתור עבור z, n, o, p, q, r, s

$$z\neq 0\text{, }r=5\text{, }s=5\text{, }n=5\text{, }o=5\text{, }p=5\text{, }q=5$$

$$z=0\text{, }r=s\text{, }s>0\text{, }n=s\text{, }o=s\text{, }p=s\text{, }q=s$$

$$z=-1\text{, }r=s\text{, }s\in \mathrm{R}\text{, }n=s\text{, }o=s\text{, }p=s\text{, }q=s$$

$$z=1\text{, }r=s\text{, }s\in \mathrm{R}\text{, }n=s\text{, }o=s\text{, }p=s\text{, }q=s$$