The LargestNthPower(m, n) command computes the greatest positive integer $b$ such that $b^n$ divides m.

Every positive integer is a divisor of 0, so there is no greatest positive integer $b$ such that $b^n$ divides 0. For this reason, LargestNthPower(0, n) returns an error.

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

$\mathrm{LargestNthPower}\left(m^2\,1\right)$

$m^2$

$\mathrm{LargestNthPower}\left(-1\,{\ⅇ}^k\right)$

$1$

$\mathrm{LargestNthPower}\left(0\,k\right)$

Error, (in NumberTheory:-LargestNthPower) there is no largest integer which, raised to the power k, divides 0

$\mathrm{LargestNthPower}\left(2^2{3}^4{5}^3\,2\right)$

$90$

$\mathrm{ifactor}\left(90\right)$

$\left(2\right){\left(3\right)}^2\left(5\right)$

The NumberTheory[LargestNthPower] command was introduced in Maple 2016.

For more information on Maple 2016 changes, see Updates in Maple 2016.