Important: The numtheory package has been deprecated.  Use the superseding command NumberTheory[LargestNthPower] instead.

The function nthpow will return $b^n$ where b is the greatest natural number such that $b^n$ divides m.

The command with(numtheory,nthpow) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{numtheory}\right)\:$

$\mathrm{nthpow}\left(4\,2\right)$

${\left(2\right)}^2$

$\mathrm{nthpow}\left(250\,3\right)$

${\left(5\right)}^3$