Home/Algebra/Powers, exponents, and radicals/Rational exponent2. Powers, exponents, and radicalsRational exponentLevel: fundamentalIn 2. Powers, exponents, and radicalsFormulaCopy LaTeXam/n=amna^{m/n}=\sqrt[n]{a^m}am/n=namTagsalgebraalgebra formulapowerspowers and radicalsDetailRelates rational powers and radicals.Found an error? Contact us.Related formulasRelatedZero and negative exponentsa0=1;a−n=1an (a≠0)a^0=1;\quad a^{-n}=\frac1{a^n}\;(a\ne0)a0=1;a−n=an1(a=0)Open formulaOpen in sectionRelatedProduct and quotient of radicalsabn=anbn;a/bn=anbn\sqrt[n]{ab}=\sqrt[n]a\sqrt[n]b;\quad \sqrt[n]{a/b}=\frac{\sqrt[n]a}{\sqrt[n]b}nab=nanb;na/b=nbnaOpen formulaOpen in section