Please answer this question

Dear Student,

In set builder form of representation of a set, the element of the set is described by using a symbol x or any other variable followed by a colon The symbol : or | is used to denote such that and then we write the property possessed by the elements of the set and enclose the whole description in braces. In this, the colon stands for such that and braces stand for set of all.
Given question is representing powers of 5 in set builder form

$$\begin{gathered} \mathrm{So} \mathrm{answer} \mathrm{is} \\ \mathbf{H}\mathbf{ }\mathbf{=}\mathbf{ }\mathbf{\left\{}\mathbf{x}\mathbf{\right|}\mathbf{x}\mathbf{ }\mathbf{=}\mathbf{ }{\mathbf{5}}^{\mathbf{n}}\mathbf{,}\mathbf{ }\mathbf{n}\mathbf{\in }\mathbf{N}\mathbf{\}} \end{gathered}$$

Regards