We have to find the equivalent expression for (Z^2/5^4)^4.
We can rearrange it like:
[tex](\frac{Z^2}{5^4})^4=\frac{Z^{2\cdot4}}{5^{4\cdot4}}=\frac{Z^8}{5^{16}}=\frac{Z^8}{152587890625}[/tex]Answer: the expression is equivalent to Z^8/152,587,890,625.