Exponent rule quick guide

When multiplying powers with the same base, add the exponents: a^m · a^n = a^(m+n). When dividing powers with the same base, subtract the exponents: a^m ÷ a^n = a^(m−n). A power raised to a power means multiply the exponents: (a^m)^n = a^(mn). A nonzero number to the zero power is 1: a^0 = 1. A negative exponent means take the reciprocal: a^(−n) = 1/a^n.