Lutasin ang {l}{{(z^2)}^n=z^10}{o=n}{p=o}{q=p}{r=q}{s=r}{text{Solvefor}ttext{where}}{t=s}

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

I-solve ang z, n, o, p, q, r, s, t

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

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

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

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