**1. LAWS OF INDICES:**

(i)

*a*x^{m}*a*=^{n}*a*^{m }^{+ n}
(ii)

*a*^{m}_{}/ a^{n}= a^{m-n}
(iii)

*(a*^{m})^{n}= a^{mn}
(iv)

*(ab)*^{n}= a^{n}b^{n}
(v)

*( a/ b )*^{n}= ( a^{n}/ b^{n})
(vi)

*a*^{0}= 1

**2.**

**SURDS**:

*Let a be a rational number and*n

*be a positive integer such that a*

^{1/n}=^{n}sqrt(a)*is irrational. Then*sqrt(a) is

^{n}*called a surd of order*n.

**3.**

**LAWS OF SURDS:**

(i)

^{n}√a = a^{1/2}
(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}√a^{m}
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