Surds and Indices - Important Formulae

1. Laws of Indices:
   1. a^m x aⁿ = a^m + n

   2. am	= am - n
      an

   3. (a^m)ⁿ = a^mn
   4. (ab)ⁿ = aⁿbⁿ

   5. 	a		n	=	an
      	b				bn

   6. a⁰ = 1
2. Surds:
   Let a be rational number and n be a positive integer such that a^(1/n) = a
   Then, a is called a surd of order n.
3. Laws of Surds:
   1. a = a^(1/n)
   2. ab = a x b

   3. 	=	a
      		b

   4. (a)ⁿ = a
   5. 
   6. (a)^m = a^m
   7. 
      

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