PerfectPowerQ[e,n]
gives True if e is a perfect n power in its field, and False otherwise.


PerfectPowerQ
PerfectPowerQ[e,n]
gives True if e is a perfect n power in its field, and False otherwise.
Details and Options
- To use PerfectPowerQ, you first need to load the Finite Fields Package using Needs["FiniteFields`"].
- PerfectPowerQ returns unevaluated if e is not a field element.
See Also
Tech Notes
Related Guides
Text
Wolfram Research (2007), PerfectPowerQ, Wolfram Language function, https://reference.wolfram.com/language/FiniteFields/ref/PerfectPowerQ.html.
CMS
Wolfram Language. 2007. "PerfectPowerQ." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/FiniteFields/ref/PerfectPowerQ.html.
APA
Wolfram Language. (2007). PerfectPowerQ. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/FiniteFields/ref/PerfectPowerQ.html
BibTeX
@misc{reference.wolfram_2025_perfectpowerq, author="Wolfram Research", title="{PerfectPowerQ}", year="2007", howpublished="\url{https://reference.wolfram.com/language/FiniteFields/ref/PerfectPowerQ.html}", note=[Accessed: 18-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_perfectpowerq, organization={Wolfram Research}, title={PerfectPowerQ}, year={2007}, url={https://reference.wolfram.com/language/FiniteFields/ref/PerfectPowerQ.html}, note=[Accessed: 18-August-2025]}