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 = nsqrt(a)
is irrational. Then nsqrt(a) is called a surd of order n.
3. LAWS
OF SURDS:
(i) n√a
= a1/2
(ii) n √ab = n √a * 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
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