Let g be a primative root of m. An index of a number a to the base g (written  ind_{g}a) is a number t such that g^{t} \equiv a \ (mod\ m). Given that  a \equiv b\ (mod\ m) and that g is a primative root modulo m, prove the following assertions:

i.  ind_{g}ac \equiv ind_{g}a + ind_{g}c\ \{mod\ \phi(m) \}
ii. ind_{g}a^{n} \equiv n\ ind_{g}a\ \{mod\ \phi(m) \}

My problem mainly is that I don't fully understand primative roots.