INDICES

• aⁿ is defined as a×a×a×... n times, where a is any real number and n is natural number. Here a is called the base and n is called index or exponent or power. The word indices is plural of index.
• By convention:
  a¹ = a
  a^-n = 1/aⁿ, a  0
  a^m.aⁿ = a^m+n
  a^m/n = a^m-n, a  0
  (a^m)ⁿ = a^mn
  (ab)^m = a^m.b^m
  , b  0
  a⁰ = 1, a  0