Resolver {l}{{(z^2)}^n=z^10}{o=n}{p=o}{q=p}{r=q}{s=r}{t=s}{text{Solvefor}utext{where}}{u=t}

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

Ebatzi: z, n, o, p, q, r, s, t, u

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

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

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

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