Home/Algebra/Powers, exponents, and radicals/Product of powers2. Powers, exponents, and radicalsProduct of powersLevel: fundamentalIn 2. Powers, exponents, and radicalsFormulaCopy LaTeXaman=am+na^ma^n=a^{m+n}aman=am+nTagsalgebraalgebra formulapowerspowers and radicalsDetailWhen multiplying powers with the same base, the exponents are added.Explore the ideaFound an error? Contact us.Related formulasRelatedQuotient of powersaman=am−n (a≠0)\frac{a^m}{a^n}=a^{m-n}\;(a\ne0)anam=am−n(a=0)Open formulaOpen in sectionRelatedPower of a power(am)n=amn(a^m)^n=a^{mn}(am)n=amnOpen formulaOpen in section