Write the following sets in the set-builder form :
${\rm{\{ 5,25,125,625\} }}$
Write the following sets in the set-builder form :
${\rm{\{ 5,25,125,625\} }}$
$\{ 5,25,125,625\} $
It can be seen that $5=5^{1}, 25=5^{2}, 125=5^{3},$ and $625=5^{4}$
$\therefore \{ 5,25,125,625\} = \{ x:x = {5^n},n \in N{\rm{ }}$ and ${\rm{ }}1\, \le \,n\, \le \,4\} $
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- [JEE MAIN 2025]
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