Understand and use the laws of indices for all rational exponents.am×an=am+na^m × a^n = a^{m+n}am×an=am+nam÷an=am−na^m ÷ a^n = a^{m−n}am÷an=am−n(am)n=amn(a^m)^n = a^{mn}(am)n=amnThe equivalence of amna^{\frac{m}{n}}anm and amn\sqrt[n]{a^m}nam should be known.