Arithmatical - Surds and Indices

DIRECTIONS : Important Facts and Formulae
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
iv.  a0 = 1
2.
Surds:
Let a be rational number and n be a positive integer such that a(1/n) = n√a.
3.
Laws of Surds:
i.  n√a = a (1/n)
ii.  n√ab = n√a x n√b
iii.  n√a/b = n√a / n√b
iv.  (n√a)n = a