Home/Algebra/Powers, exponents, and radicals/Power of a power2. Powers, exponents, and radicalsPower of a powerLevel: fundamentalIn 2. Powers, exponents, and radicalsFormulaCopy LaTeX(am)n=amn(a^m)^n=a^{mn}(am)n=amnTagsalgebraalgebra formulapowerspowers and radicalsDetailThe exponents are multiplied.Found an error? Contact us.Related formulasRelatedProduct of powersaman=am+na^ma^n=a^{m+n}aman=am+nOpen formulaOpen in sectionRelatedPower of a product and quotient(ab)n=anbn;(a/b)n=an/bn(ab)^n=a^nb^n;\quad (a/b)^n=a^n/b^n(ab)n=anbn;(a/b)n=an/bnOpen formulaOpen in section