Basic Rules for Exponents:
The subsequent rules are applied to exponents.
Rule 1: To multiply numbers along with the similar base, add the exponents and remain the base the same.
aman = am+n
22 x 23 = (2 x 2) x (2 x 2 x 2) = 2 x 2 x 2 x 2 x 2 = 25
Rule 2: While raising a power of a number to a power, multiply the exponents and keep the base the similar.
(am)n = amn
(a2)3 = (a x a) x (a x a) x (a x a) = a6
that is, you multiply (a x a) three times. Same, for (am)n, one multiplies (am) n times. There are m values of a in each parenthesis multiplied through n parenthesis or m x n values of a to multiply.
Thus, (am)n = amn