1. LAWS OF INDICES:
(i) am x an = am + n
(ii) am / an = am - n
(iii) (am)n = amn
(iv) (ab)n = anbn
(v) (a / b)n = an / bn
(vi) a0 = 1
2. SURDS:
Let 'a' be a rational number and 'n' be a positive integer such that a1/n = n√a
is irrational. Then n√a is called a surd of order n.
3. LAWS OF SURDS:
(i) n√a = a1/n
(ii) n√ab = (n√a) x (n√b)
(iii) n√(a/b) = (n√a) / (n√b)
(iv) (n√a)n = a
(v) m√(n√a) = mn√a
(vi) (n√a)m = n√am