求解 {l}{{(z^2)}^n=z^10}{o=n}{p=o}{q=p}{text{Solvefor}rtext{where}}{r=q}

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

求解 z, n, o, p, q, r 的值

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

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

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

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