Surds and Indices - Important Formulas

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

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Posted in: Aptitude